* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2.0)) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [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) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]approximate:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]approximate:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 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 (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of 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 (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* -1 (/ 1 (+ 2.0 (fma i 2 beta)))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ -1 (+ 2.0 (fma i 2 beta))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ -1 (+ 2.0 (fma i 2 beta))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (* 1 (* alpha beta))) (+ (* (/ -1 (+ 2.0 (fma i 2 beta))) (* 1 (* alpha 1))) (* (/ 1 (+ 2.0 (fma i 2 beta))) (* 1 (* 1 beta))))) into (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (* 1 (* (/ 1 alpha) 1))) (+ (* 1 (* 1 (* (/ 1 alpha) (/ 1 (/ 1 beta))))) -1)) into (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1)
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) 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 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- 1)
* [misc]backup-simplify:  Simplify (/ 1 (- 1)) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 1) (* 0 0))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (* 1 (* (/ 1 (- alpha)) 1))) (+ (* 1 (* 1 (* (/ 1 (- alpha)) (/ 1 (/ 1 (- beta)))))) -1)) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ beta (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 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 (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 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 (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma 2 i (+ beta alpha))) (* 1 (* beta 1))) (* (/ 1 (fma 2 i (+ beta alpha))) (* 1 (* 1 alpha)))) into (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 beta) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* 1 (/ 1 (/ 1 alpha))))) (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 (/ 1 beta)) 1)))) into (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* 1 (/ 1 (/ 1 (- alpha)))))) (* (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* (/ 1 (/ 1 (- beta))) 1)))) into (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2 2)
* [misc]approximate:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]approximate:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]approximate:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * * * [misc]progress:  [ 2 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ (/ 1 alpha) 2.0))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0)
* * * * [misc]progress:  [ 3 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (+ (- 2.0 (/ 1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (/ (+ (/ -1 beta) (/ -1 alpha)) (fma 2 (/ -1 i) (+ (/ -1 beta) (/ -1 alpha)))) 1.0) 2.0)
* * * * [misc]progress:  [ 4 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (/ beta (+ (fma i 2 beta) 2.0)) (fma (/ alpha (+ (fma i 2 beta) 2.0)) (/ beta (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * * * [misc]progress:  [ 5 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (+ (/ beta alpha) (- (/ 2.0 alpha) 1)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * * * [misc]progress:  [ 6 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (- (/ 2.0 alpha) 1) (/ beta alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * * * [misc]progress:  [ 7 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 i (+ beta alpha))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) 2.0)
* * * * [misc]progress:  [ 8 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0)
* * * * [misc]progress:  [ 9 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * * * [misc]progress:  [ 10 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ beta alpha))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * * * [misc]progress:  [ 11 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* * * * [misc]progress:  [ 12 / 79 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0)
* * * * [misc]progress:  [ 13 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log1p (expm1 (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (expm1 (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (expm1 (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (expm1 (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 14 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (expm1 (log1p (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (log1p (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (log1p (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (log1p (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 15 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 16 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 1) 2.0))>
* * * * [misc]progress:  [ 17 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (log (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (log (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (log (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (log (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 18 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log (exp (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (exp (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (exp (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (exp (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 19 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (cbrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (cbrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (cbrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 20 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (cube (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (cube (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))
* * [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 (34 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (cube (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (cube (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 21 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (sqrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (sqrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 22 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* 1 (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0)) 2.0))>
* * * * [misc]progress:  [ 23 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (log1p (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 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 (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 24 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (expm1 (log1p (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log1p (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 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 (log1p (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (log1p (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 25 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (pow (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* * * * [misc]progress:  [ 26 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (exp (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 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)) (log (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 27 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (exp (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 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 (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 28 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (log (exp (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (exp (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 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 (exp (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (exp (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 29 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (cbrt (/ (cube (- beta alpha)) (cube (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (cube (- beta alpha)) (cube (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (396 enodes)
* [exit]simplify:  Simplified to (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 30 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (cube (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 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 (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 31 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (cbrt (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (412 enodes)
* [exit]simplify:  Simplified to (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 32 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (cube (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 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)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 33 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (sqr (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 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 (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 34 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (sqr (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 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)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 35 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- (- beta alpha)) (- (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- (- beta alpha))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (- (- beta alpha))
* [exit]simplify:  Simplified to (- (- beta alpha))
* [enter]simplify:  Simplifying (- (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (- (+ (+ alpha 2.0) (fma i 2 beta)))
* [exit]simplify:  Simplified to (- (+ (+ alpha 2.0) (fma i 2 beta)))
* * * * [misc]progress:  [ 36 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (9 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 2.0) (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))
* [enter]simplify:  Simplifying (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (/ alpha (+ (fma i 2 beta) (+ alpha 2.0)))
* [exit]simplify:  Simplified to (/ alpha (+ (fma i 2 beta) (+ alpha 2.0)))
* * * * [misc]progress:  [ 37 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (/ 1 1) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [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) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (10 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 alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 38 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (/ 1 1) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [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) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (10 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 alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 39 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* 1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* * * * [misc]progress:  [ 40 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ alpha 2.0) (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ 1 (+ (+ alpha 2.0) (fma i 2 beta)))
* * * * [misc]progress:  [ 41 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha))
* * [misc]simplify:  iters left: 6 (10 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 (/ (+ (+ alpha 2.0) (fma i 2 beta)) (- beta alpha))
* [exit]simplify:  Simplified to (/ (+ (+ alpha 2.0) (fma i 2 beta)) (- beta alpha))
* * * * [misc]progress:  [ 42 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (/ (- beta alpha) 1) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (- beta alpha) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (/ (- beta alpha) 1)
* [exit]simplify:  Simplified to (/ (- beta alpha) 1)
* * * * [misc]progress:  [ 43 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (/ (- beta alpha) 1) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (- beta alpha) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (/ (- beta alpha) 1)
* [exit]simplify:  Simplified to (/ (- beta alpha) 1)
* * * * [misc]progress:  [ 44 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha))
* * [misc]simplify:  iters left: 6 (10 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 (/ (+ (+ alpha 2.0) (fma i 2 beta)) (- beta alpha))
* [exit]simplify:  Simplified to (/ (+ (+ alpha 2.0) (fma i 2 beta)) (- beta alpha))
* * * * [misc]progress:  [ 45 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (/ (- beta alpha) (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3))) (+ (sqr (fma i 2 beta)) (- (sqr (+ 2.0 alpha)) (* (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (- beta alpha) (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (/ (- beta alpha) (- (cube (fma i 2 beta)) (cube (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (/ (- beta alpha) (- (cube (fma i 2 beta)) (cube (+ 2.0 alpha))))
* * * * [misc]progress:  [ 46 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (- (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (- (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (- (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 47 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- (pow beta 3) (pow alpha 3)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ (sqr beta) (+ (sqr alpha) (* beta alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ (sqr beta) (+ (sqr alpha) (* beta alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (333 enodes)
* [exit]simplify:  Simplified to (* (fma alpha (+ beta alpha) (* beta beta)) (+ (+ alpha 2.0) (fma i 2 beta)))
* [exit]simplify:  Simplified to (* (fma alpha (+ beta alpha) (* beta beta)) (+ (+ alpha 2.0) (fma i 2 beta)))
* * * * [misc]progress:  [ 48 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- (sqr beta) (sqr alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (+ beta alpha))
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (+ beta alpha))
* * * * [misc]progress:  [ 49 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 50 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (expm1 (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 51 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (pow (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1) 1.0) 2.0))>
* * * * [misc]progress:  [ 52 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (exp (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 53 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (exp (log (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (log (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 54 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (log (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 55 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cbrt (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (191 enodes)
* * [misc]simplify:  iters left: 1 (383 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 56 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 57 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cbrt (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (266 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 58 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 59 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (sqr (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 60 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (sqr (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 61 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (+ alpha beta)) (- (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- (+ alpha beta))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (- (+ alpha beta))
* [exit]simplify:  Simplified to (- (+ alpha beta))
* [enter]simplify:  Simplifying (- (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (- (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (- (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 62 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (* (/ 1 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [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 (/ (+ alpha beta) (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha beta) (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (/ (+ alpha beta) (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 63 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (* 1 (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* * * * [misc]progress:  [ 64 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (* (+ alpha beta) (/ 1 (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ 1 (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (/ 1 (fma 2 i (+ beta alpha)))
* * * * [misc]progress:  [ 65 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (fma 2 i (+ alpha beta)) (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * * * [misc]progress:  [ 66 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (/ (+ alpha beta) 1) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ alpha beta) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha beta) 1)
* [exit]simplify:  Simplified to (/ (+ alpha beta) 1)
* * * * [misc]progress:  [ 67 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (fma 2 i (+ alpha beta)) (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * * * [misc]progress:  [ 68 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (pow alpha 3) (pow beta 3)) (* (fma 2 i (+ alpha beta)) (+ (sqr alpha) (- (sqr beta) (* alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (fma 2 i (+ alpha beta)) (+ (sqr alpha) (- (sqr beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (* (fma beta (- beta alpha) (* alpha alpha)) (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (* (fma beta (- beta alpha) (* alpha alpha)) (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 69 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (sqr alpha) (sqr beta)) (* (fma 2 i (+ alpha beta)) (- alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (fma 2 i (+ alpha beta)) (- alpha beta))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (- alpha beta) (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (* (- alpha beta) (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 70 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (log1p (expm1 (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (expm1 (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (expm1 (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (expm1 (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 71 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (expm1 (log1p (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log1p (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log1p (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (log1p (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 72 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (+ (* 2 i) (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* 2 i)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* i 2)
* [exit]simplify:  Simplified to (* i 2)
* * * * [misc]progress:  [ 73 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (pow (fma 2 i (+ alpha beta)) 1)) 1.0) 2.0))>
* * * * [misc]progress:  [ 74 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (exp (log (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (log (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 75 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (log (exp (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (exp (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (exp (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (exp (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 76 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cbrt (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (cbrt (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 77 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cbrt (cube (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cube (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (cube (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (cube (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 78 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (sqrt (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (sqrt (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 79 / 79 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (* 1 (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* * * [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) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 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 (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of 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 (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta 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 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ alpha (fma 2 i (+ beta alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) 1.0) into (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ 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 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 1 (fma 2 i (+ beta alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 1 (fma 2 i (+ beta alpha)))) (* 0 (/ alpha (fma 2 i (+ beta alpha)))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) 0) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ 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 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) (sqr (* 1 (* alpha 1)))) (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))) 1.0)) into (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) 1.0) into (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) 0) (+ (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 alpha) (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 alpha)) 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) 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 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 0) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 1.0) into (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 0) (+ (* 0 (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (- alpha)) (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 (- alpha))) 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 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 (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of 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 (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* -1 (/ 1 (+ 2.0 (fma i 2 beta)))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ -1 (+ 2.0 (fma i 2 beta))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ -1 (+ 2.0 (fma i 2 beta))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (* 1 (* alpha beta))) (+ (* (/ -1 (+ 2.0 (fma i 2 beta))) (* 1 (* alpha 1))) (* (/ 1 (+ 2.0 (fma i 2 beta))) (* 1 (* 1 beta))))) into (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (* 1 (* (/ 1 alpha) 1))) (+ (* 1 (* 1 (* (/ 1 alpha) (/ 1 (/ 1 beta))))) -1)) into (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1)
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) 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 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- 1)
* [misc]backup-simplify:  Simplify (/ 1 (- 1)) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 1) (* 0 0))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (* 1 (* (/ 1 (- alpha)) 1))) (+ (* 1 (* 1 (* (/ 1 (- alpha)) (/ 1 (/ 1 (- beta)))))) -1)) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 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 (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of 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 (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ alpha (fma 2 i (+ beta alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 1 (fma 2 i (+ beta alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 1 (fma 2 i (+ beta alpha)))) (* 0 (/ alpha (fma 2 i (+ beta alpha)))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ 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 (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* 0 (/ 1 (fma 2 i (+ beta alpha)))) (* 0 (/ alpha (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ (fma 2 i (+ beta alpha)) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* 1 (* alpha (sqr beta)))) (+ (* (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* alpha 1)))) (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))))) into (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))
* [misc]approximate:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) 0) (+ (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 alpha) (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 alpha)) 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) 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 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 0) (+ (* 0 (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (- alpha)) (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 (- alpha))) 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2)
* [misc]approximate:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ beta (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 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 (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 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 (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma 2 i (+ beta alpha))) (* 1 (* beta 1))) (* (/ 1 (fma 2 i (+ beta alpha))) (* 1 (* 1 alpha)))) into (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 beta) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* 1 (/ 1 (/ 1 alpha))))) (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 (/ 1 beta)) 1)))) into (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* 1 (/ 1 (/ 1 (- alpha)))))) (* (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* (/ 1 (/ 1 (- beta))) 1)))) into (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) 2.0))>
* [enter]simplify:  Simplifying (/ (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) 2.0)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (/ (/ alpha (fma 2 i (+ beta alpha))) (/ (+ 2.0 (fma i 2 beta)) alpha))) 2.0)
* * * * [misc]progress:  [ 2 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0))>
* [enter]simplify:  Simplifying (/ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (234 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)) (- (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * * * [misc]progress:  [ 3 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 2.0))>
* [enter]simplify:  Simplifying (/ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (fma (/ (/ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) beta (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (- 1.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) 2.0)
* * * * [misc]progress:  [ 4 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (/ beta (+ (fma i 2 beta) 2.0)) (fma (/ alpha (+ (fma i 2 beta) 2.0)) (/ beta (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * * * [misc]progress:  [ 5 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (271 enodes)
* * [misc]simplify:  iters left: 1 (459 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (+ (/ beta alpha) (- (/ 2.0 alpha) 1)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * * * [misc]progress:  [ 6 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (274 enodes)
* * [misc]simplify:  iters left: 1 (472 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (/ 2.0 alpha) (- (/ beta alpha) 1))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * * * [misc]progress:  [ 7 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* * [misc]simplify:  iters left: 2 (425 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (* (/ alpha (fma 2 i (+ beta alpha))) (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta))) (/ alpha (+ 2.0 (fma i 2 beta)))))) 2.0)
* * * * [misc]progress:  [ 8 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (- (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) 2.0)
* * * * [misc]progress:  [ 9 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0)
* * * * [misc]progress:  [ 10 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (308 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) 1.0) 2.0)
* * * * [misc]progress:  [ 11 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (317 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) alpha (fma beta (/ (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0)) 2.0)
* * * * [misc]progress:  [ 12 / 111 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (326 enodes)
* [exit]simplify:  Simplified to (/ (+ 1.0 (/ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ beta alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * * * [misc]progress:  [ 13 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log1p (expm1 (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (expm1 (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (expm1 (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (expm1 (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 14 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (expm1 (log1p (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (log1p (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (log1p (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (log1p (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 15 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* * * * [misc]progress:  [ 16 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 1) 2.0))>
* * * * [misc]progress:  [ 17 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (log (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (log (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (log (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (log (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 18 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log (exp (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (exp (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (exp (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (exp (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 19 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (cbrt (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (cbrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (cbrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 20 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (cube (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (cube (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* [exit]simplify:  Simplified to (cube (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (cube (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 21 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (sqrt (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [exit]simplify:  Simplified to (sqrt (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* * * * [misc]progress:  [ 22 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* 1 (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0)) 2.0))>
* * * * [misc]progress:  [ 23 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (- (pow (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 3) (pow 1.0 3)) (+ (sqr (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) (- (sqr 1.0) (* (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0)))) 2.0))>
* [enter]simplify:  Simplifying (- (pow (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 3) (pow 1.0 3))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* [exit]simplify:  Simplified to (- (cube (/ (* (+ beta alpha) (- beta alpha)) (* (fma 2 i (+ beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))))) (cube 1.0))
* [exit]simplify:  Simplified to (- (cube (/ (* (+ beta alpha) (- beta alpha)) (* (fma 2 i (+ beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))))) (cube 1.0))
* [enter]simplify:  Simplifying (+ (sqr (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) (- (sqr 1.0) (* (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (322 enodes)
* [exit]simplify:  Simplified to (fma (- 1.0 (/ (* (+ beta alpha) (- beta alpha)) (* (fma 2 i (+ beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))))) 1.0 (sqr (/ (* (+ beta alpha) (- beta alpha)) (* (fma 2 i (+ beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))))))
* [exit]simplify:  Simplified to (fma (- 1.0 (/ (* (+ beta alpha) (- beta alpha)) (* (fma 2 i (+ beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))))) 1.0 (sqr (/ (* (+ beta alpha) (- beta alpha)) (* (fma 2 i (+ beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))))))
* * * * [misc]progress:  [ 24 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (- (sqr (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) (sqr 1.0)) (- (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0)) 2.0))>
* [enter]simplify:  Simplifying (- (sqr (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) (sqr 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (287 enodes)
* [exit]simplify:  Simplified to (- (sqr (/ (/ (* (+ beta alpha) (- beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))) (fma 2 i (+ beta alpha)))) (sqr 1.0))
* [exit]simplify:  Simplified to (- (sqr (/ (/ (* (+ beta alpha) (- beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))) (fma 2 i (+ beta alpha)))) (sqr 1.0))
* [enter]simplify:  Simplifying (- (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (- (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0)
* [exit]simplify:  Simplified to (- (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0)
* * * * [misc]progress:  [ 25 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ 1.0 (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 2.0))>
* * * * [misc]progress:  [ 26 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (log1p (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 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 (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 27 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (expm1 (log1p (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log1p (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 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 (log1p (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (log1p (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 28 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (pow (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* * * * [misc]progress:  [ 29 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (exp (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 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)) (log (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 30 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (exp (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 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 (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 31 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (log (exp (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (exp (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 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 (exp (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (exp (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 32 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (cbrt (/ (cube (- beta alpha)) (cube (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (cube (- beta alpha)) (cube (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (396 enodes)
* [exit]simplify:  Simplified to (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 33 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (cube (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 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 (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 34 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (cbrt (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (412 enodes)
* [exit]simplify:  Simplified to (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 35 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (cube (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 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)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 36 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (sqr (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 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 (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 37 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (sqr (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 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)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha))))
* * * * [misc]progress:  [ 38 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- (- beta alpha)) (- (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- (- beta alpha))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (- (- beta alpha))
* [exit]simplify:  Simplified to (- (- beta alpha))
* [enter]simplify:  Simplifying (- (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (- (+ (+ alpha 2.0) (fma i 2 beta)))
* [exit]simplify:  Simplified to (- (+ (+ alpha 2.0) (fma i 2 beta)))
* * * * [misc]progress:  [ 39 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (9 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 2.0) (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))
* [enter]simplify:  Simplifying (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (/ alpha (+ (fma i 2 beta) (+ alpha 2.0)))
* [exit]simplify:  Simplified to (/ alpha (+ (fma i 2 beta) (+ alpha 2.0)))
* * * * [misc]progress:  [ 40 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* (/ 1 1) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [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) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (10 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 alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 41 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* (/ 1 1) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [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) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (10 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 alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 42 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* 1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* * * * [misc]progress:  [ 43 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ alpha 2.0) (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ 1 (+ (+ alpha 2.0) (fma i 2 beta)))
* * * * [misc]progress:  [ 44 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha))
* * [misc]simplify:  iters left: 6 (10 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 (/ (+ (+ alpha 2.0) (fma i 2 beta)) (- beta alpha))
* [exit]simplify:  Simplified to (/ (+ (+ alpha 2.0) (fma i 2 beta)) (- beta alpha))
* * * * [misc]progress:  [ 45 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (/ (- beta alpha) 1) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (- beta alpha) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (/ (- beta alpha) 1)
* [exit]simplify:  Simplified to (/ (- beta alpha) 1)
* * * * [misc]progress:  [ 46 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (/ (- beta alpha) 1) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (- beta alpha) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (/ (- beta alpha) 1)
* [exit]simplify:  Simplified to (/ (- beta alpha) 1)
* * * * [misc]progress:  [ 47 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha))
* * [misc]simplify:  iters left: 6 (10 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 (/ (+ (+ alpha 2.0) (fma i 2 beta)) (- beta alpha))
* [exit]simplify:  Simplified to (/ (+ (+ alpha 2.0) (fma i 2 beta)) (- beta alpha))
* * * * [misc]progress:  [ 48 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* (/ (- beta alpha) (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3))) (+ (sqr (fma i 2 beta)) (- (sqr (+ 2.0 alpha)) (* (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (- beta alpha) (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (/ (- beta alpha) (- (cube (fma i 2 beta)) (cube (+ 2.0 alpha))))
* [exit]simplify:  Simplified to (/ (- beta alpha) (- (cube (fma i 2 beta)) (cube (+ 2.0 alpha))))
* * * * [misc]progress:  [ 49 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (- (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (- (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (- (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 50 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- (pow beta 3) (pow alpha 3)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ (sqr beta) (+ (sqr alpha) (* beta alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ (sqr beta) (+ (sqr alpha) (* beta alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (333 enodes)
* [exit]simplify:  Simplified to (* (fma alpha (+ beta alpha) (* beta beta)) (+ (+ alpha 2.0) (fma i 2 beta)))
* [exit]simplify:  Simplified to (* (fma alpha (+ beta alpha) (* beta beta)) (+ (+ alpha 2.0) (fma i 2 beta)))
* * * * [misc]progress:  [ 51 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- (sqr beta) (sqr alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (+ beta alpha))
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (+ beta alpha))
* * * * [misc]progress:  [ 52 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (log1p (expm1 (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (expm1 (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (expm1 (* (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (expm1 (* (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 53 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (expm1 (log1p (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log1p (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (log1p (* (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (log1p (* (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 54 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (pow (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 55 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (pow (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1) 1.0) 2.0))>
* * * * [misc]progress:  [ 56 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (exp (+ (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha)))) (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (+ (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha)))) (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (+ (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha)))) (- (log (+ beta alpha)) (log (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (+ (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha)))) (- (log (+ beta alpha)) (log (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 57 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (exp (+ (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha)))) (log (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (+ (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha)))) (log (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (+ (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha)))) (log (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (+ (- (log (- beta alpha)) (log (+ (fma i 2 beta) (+ 2.0 alpha)))) (log (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 58 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (exp (+ (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (+ (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta)))))
* * [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 (55 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (- (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (- (log (fma 2 i (+ beta alpha))) (log (+ beta alpha))))
* [exit]simplify:  Simplified to (- (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (- (log (fma 2 i (+ beta alpha))) (log (+ beta alpha))))
* * * * [misc]progress:  [ 59 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (exp (+ (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (log (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (+ (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (log (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (log (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (+ (log (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (log (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 60 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (exp (log (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (log (* (/ (- beta alpha) (fma 2 i (+ beta alpha))) (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))))
* [exit]simplify:  Simplified to (log (* (/ (- beta alpha) (fma 2 i (+ beta alpha))) (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * * * [misc]progress:  [ 61 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (log (exp (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (exp (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (- beta alpha) (fma 2 i (+ beta alpha))) (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))))
* [exit]simplify:  Simplified to (exp (* (/ (- beta alpha) (fma 2 i (+ beta alpha))) (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * * * [misc]progress:  [ 62 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cbrt (* (/ (cube (- beta alpha)) (cube (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (cube (- beta alpha)) (cube (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (311 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))))
* [exit]simplify:  Simplified to (* (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * * * [misc]progress:  [ 63 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cbrt (* (/ (cube (- beta alpha)) (cube (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (cube (- beta alpha)) (cube (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (249 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 64 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cbrt (* (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (199 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 65 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cbrt (* (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (cube (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 66 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cube (cbrt (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cbrt (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (cbrt (* (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 67 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cbrt (cube (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cube (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (319 enodes)
* [exit]simplify:  Simplified to (cube (/ (/ (* (+ beta alpha) (- beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))) (fma 2 i (+ beta alpha))))
* [exit]simplify:  Simplified to (cube (/ (/ (* (+ beta alpha) (- beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))) (fma 2 i (+ beta alpha))))
* * * * [misc]progress:  [ 68 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 69 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 70 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cube (* (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 71 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cube (* (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (cbrt (- beta alpha)) (cbrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (- beta alpha)) (cbrt (+ beta alpha))) (* (cbrt (+ (fma i 2 beta) (+ 2.0 alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (- beta alpha)) (cbrt (+ beta alpha))) (* (cbrt (+ (fma i 2 beta) (+ 2.0 alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 72 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (sqr (sqrt (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (sqrt (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (sqrt (* (/ (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 73 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (sqr (* (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 74 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (sqr (* (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (sqrt (+ beta alpha)) (sqrt (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (sqrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (sqrt (+ beta alpha)) (sqrt (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 75 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (sqr (* (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 76 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (sqr (* (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (sqrt (- beta alpha)) (sqrt (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (- beta alpha)) (sqrt (+ beta alpha))) (* (sqrt (+ (fma i 2 beta) (+ 2.0 alpha))) (sqrt (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (/ (* (sqrt (- beta alpha)) (sqrt (+ beta alpha))) (* (sqrt (+ (fma i 2 beta) (+ 2.0 alpha))) (sqrt (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 77 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- beta alpha) (+ alpha beta)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- beta alpha) (+ alpha beta))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* (- beta alpha) (+ beta alpha))
* [exit]simplify:  Simplified to (* (- beta alpha) (+ beta alpha))
* [enter]simplify:  Simplifying (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* * * * [misc]progress:  [ 78 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* 1 (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* * * * [misc]progress:  [ 79 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 1)) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 80 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 81 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ alpha beta)) (/ 1 (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ alpha beta))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (* (+ beta alpha) (- beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (* (+ beta alpha) (- beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 82 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ 1 1) (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 83 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ 1 1) (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 84 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* 1 (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (/ (* (+ beta alpha) (- beta alpha)) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 85 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- beta alpha) (* (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 86 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3))) (* (+ (sqr (fma i 2 beta)) (- (sqr (+ 2.0 alpha)) (* (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (+ (sqr (fma i 2 beta)) (- (sqr (+ 2.0 alpha)) (* (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (351 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (+ alpha 2.0) (fma i 2 beta)) (+ alpha 2.0) (* (fma i 2 beta) (fma i 2 beta))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (fma (- (+ alpha 2.0) (fma i 2 beta)) (+ alpha 2.0) (* (fma i 2 beta) (fma i 2 beta))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* * * * [misc]progress:  [ 87 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (* (- (fma i 2 beta) (+ 2.0 alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (fma i 2 beta) (+ 2.0 alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (/ (- (fma i 2 beta) (+ alpha 2.0)) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (- (fma i 2 beta) (+ alpha 2.0)) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* * * * [misc]progress:  [ 88 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ alpha beta)) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ alpha beta))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (* (+ beta alpha) (- beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (* (+ beta alpha) (- beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 89 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- beta alpha) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- beta alpha) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (* (- beta alpha) (+ beta alpha)) (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (* (- beta alpha) (+ beta alpha)) (fma 2 i (+ beta alpha)))
* * * * [misc]progress:  [ 90 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (+ alpha beta) (fma 2 i (+ alpha beta))) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) 1.0) 2.0))>
* * * * [misc]progress:  [ 91 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 92 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (expm1 (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 93 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (pow (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1)) 1.0) 2.0))>
* * * * [misc]progress:  [ 94 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (exp (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 95 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (exp (log (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (log (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 96 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (log (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 97 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cbrt (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (191 enodes)
* * [misc]simplify:  iters left: 1 (383 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 98 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 99 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cbrt (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (266 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 100 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 101 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (sqr (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 102 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (sqr (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 103 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (+ alpha beta)) (- (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- (+ alpha beta))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (- (+ alpha beta))
* [exit]simplify:  Simplified to (- (+ alpha beta))
* [enter]simplify:  Simplifying (- (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (- (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (- (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 104 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (* (/ 1 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [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 (/ (+ alpha beta) (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha beta) (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (/ (+ alpha beta) (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 105 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (* 1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* * * * [misc]progress:  [ 106 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (* (+ alpha beta) (/ 1 (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ 1 (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (/ 1 (fma 2 i (+ beta alpha)))
* * * * [misc]progress:  [ 107 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (fma 2 i (+ alpha beta)) (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * * * [misc]progress:  [ 108 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (/ (+ alpha beta) 1) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ alpha beta) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha beta) 1)
* [exit]simplify:  Simplified to (/ (+ alpha beta) 1)
* * * * [misc]progress:  [ 109 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (fma 2 i (+ alpha beta)) (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * * * [misc]progress:  [ 110 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (pow alpha 3) (pow beta 3)) (* (fma 2 i (+ alpha beta)) (+ (sqr alpha) (- (sqr beta) (* alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (fma 2 i (+ alpha beta)) (+ (sqr alpha) (- (sqr beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (* (fma beta (- beta alpha) (* alpha alpha)) (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (* (fma beta (- beta alpha) (* alpha alpha)) (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 111 / 111 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (sqr alpha) (sqr beta)) (* (fma 2 i (+ alpha beta)) (- alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (fma 2 i (+ alpha beta)) (- alpha beta))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (- alpha beta) (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (* (- alpha beta) (fma 2 i (+ alpha beta)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta 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 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ alpha (fma 2 i (+ beta alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) 1.0) into (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ 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 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) into (- (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) into (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ 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 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 1 (fma 2 i (+ beta alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 1 (fma 2 i (+ beta alpha)))) (* 0 (/ alpha (fma 2 i (+ beta alpha)))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) 0) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) (sqr (* alpha (* 1 1)))) (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))) 1.0)) into (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) 0) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) 1.0) into (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) 0) (+ (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 alpha) (* 1 (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 0) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 1.0) into (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 0) (+ (* 0 (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (- alpha)) (* 1 (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ alpha (fma 2 i (+ beta alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 1 (fma 2 i (+ beta alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 1 (fma 2 i (+ beta alpha)))) (* 0 (/ alpha (fma 2 i (+ beta alpha)))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* 0 (/ 1 (fma 2 i (+ beta alpha)))) (* 0 (/ alpha (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ (fma 2 i (+ beta alpha)) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* alpha (* 1 (sqr beta)))) (+ (* (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* alpha (* 1 1)))) (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))))) into (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) 0) (+ (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 alpha) (* 1 (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 0) (+ (* 0 (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (- alpha)) (* 1 (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 1 2)
* [misc]approximate:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ 2.0 (fma i 2 beta)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (log (+ 2.0 (fma i 2 beta))) into (log (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (+ 2.0 (fma i 2 beta)))) into (* 3 (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ 2.0 (fma i 2 beta))))) into (pow (+ 2.0 (fma i 2 beta)) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) into (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ 2.0 (fma i 2 beta)) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ 2.0 (fma i 2 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 2.0 (fma i 2 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ 2.0 (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (log (+ 2.0 (fma i 2 beta))) into (log (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (+ 2.0 (fma i 2 beta)))) into (* 3 (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ 2.0 (fma i 2 beta))))) into (pow (+ 2.0 (fma i 2 beta)) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) into (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]backup-simplify:  Simplify (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) into (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) (pow (* 1 (* 1 alpha)) 3)) (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (sqr (* 1 (* 1 alpha)))) (* (/ 1 (+ 2.0 (fma i 2 beta))) (* 1 (* 1 alpha))))) into (- (+ (/ alpha (+ 2.0 (fma i 2 beta))) (/ (pow alpha 3) (pow (+ 2.0 (fma i 2 beta)) 3))) (/ (sqr alpha) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)))) into (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) into (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) into (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0))
* [misc]backup-simplify:  Simplify (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) into (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (/ (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) into (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) into (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) into (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) into (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))) into (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) into (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))) (sqr (* 1 (* 1 (/ 1 alpha))))) (+ (* (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 1 (* 1 (/ 1 alpha)))) 1)) into (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha)))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (* 2.0 (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) 2.0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) -1)))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) -1)))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) into (* 4.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) into (* 4.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (sqr (* 1 (* 1 (/ 1 (- alpha)))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (* 1 (* 1 (/ 1 (- alpha))))) 1)) into (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2)
* [misc]approximate:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ beta (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 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 (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 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 (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma 2 i (+ beta alpha))) (* 1 (* beta 1))) (* (/ 1 (fma 2 i (+ beta alpha))) (* 1 (* 1 alpha)))) into (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 beta) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* 1 (/ 1 (/ 1 alpha))))) (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 (/ 1 beta)) 1)))) into (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* 1 (/ 1 (/ 1 (- alpha)))))) (* (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* (/ 1 (/ 1 (- beta))) 1)))) into (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) 2.0))>
* [enter]simplify:  Simplifying (/ (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) 2.0)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (/ (/ alpha (fma 2 i (+ beta alpha))) (/ (+ 2.0 (fma i 2 beta)) alpha))) 2.0)
* * * * [misc]progress:  [ 2 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0))>
* [enter]simplify:  Simplifying (/ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (234 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)) (- (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * * * [misc]progress:  [ 3 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 2.0))>
* [enter]simplify:  Simplifying (/ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (fma (/ (/ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) beta (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (- 1.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) 2.0)
* * * * [misc]progress:  [ 4 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* * [misc]simplify:  iters left: 2 (425 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (* (/ alpha (fma 2 i (+ beta alpha))) (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta))) (/ alpha (+ 2.0 (fma i 2 beta)))))) 2.0)
* * * * [misc]progress:  [ 5 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (- (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) 2.0)
* * * * [misc]progress:  [ 6 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0)
* * * * [misc]progress:  [ 7 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (/ alpha (+ 2.0 (fma i 2 beta))) (/ (pow alpha 3) (pow (+ 2.0 (fma i 2 beta)) 3))) (/ (sqr alpha) (sqr (+ 2.0 (fma i 2 beta)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (/ alpha (+ 2.0 (fma i 2 beta))) (/ (pow alpha 3) (pow (+ 2.0 (fma i 2 beta)) 3))) (/ (sqr alpha) (sqr (+ 2.0 (fma i 2 beta)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (363 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (fma (/ alpha (+ 2.0 (fma i 2 beta))) (/ alpha (+ 2.0 (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (fma (/ alpha (+ 2.0 (fma i 2 beta))) (* (/ alpha (+ 2.0 (fma i 2 beta))) (/ alpha (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * * * [misc]progress:  [ 8 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha)))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (* 2.0 (/ 1 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha)))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (* 2.0 (/ 1 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* * [misc]simplify:  iters left: 2 (365 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (fma (/ (/ 4.0 alpha) alpha) (fma (/ 1 i) 2 (/ 1 beta)) 1)) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) (/ (/ 4.0 alpha) alpha))))) 1.0) 2.0)
* * * * [misc]progress:  [ 9 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* * [misc]simplify:  iters left: 2 (480 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (+ (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (fma (/ (/ 4.0 alpha) alpha) (fma (/ -1 i) 2 (/ -1 beta)) (/ (/ 4.0 alpha) alpha))) (- 1 (/ 2.0 alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * * * [misc]progress:  [ 10 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha)))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0) 2.0)
* * * * [misc]progress:  [ 11 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (+ (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * * * [misc]progress:  [ 12 / 99 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) beta (fma (/ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) alpha 1.0)) 2.0)
* * * * [misc]progress:  [ 13 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log1p (expm1 (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (expm1 (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (expm1 (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* [exit]simplify:  Simplified to (expm1 (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* * * * [misc]progress:  [ 14 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (expm1 (log1p (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (log1p (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (log1p (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* [exit]simplify:  Simplified to (log1p (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* * * * [misc]progress:  [ 15 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* * * * [misc]progress:  [ 16 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 1) 2.0))>
* * * * [misc]progress:  [ 17 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (log (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (log (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (log (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* [exit]simplify:  Simplified to (log (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* * * * [misc]progress:  [ 18 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log (exp (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (exp (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (exp (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* [exit]simplify:  Simplified to (exp (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* * * * [misc]progress:  [ 19 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (cbrt (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (cbrt (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* [exit]simplify:  Simplified to (cbrt (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* * * * [misc]progress:  [ 20 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (cube (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (cube (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* [exit]simplify:  Simplified to (cube (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* [exit]simplify:  Simplified to (cube (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* * * * [misc]progress:  [ 21 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))) 2.0))>
* [enter]simplify:  Simplifying (sqrt (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* [exit]simplify:  Simplified to (sqrt (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0))
* * * * [misc]progress:  [ 22 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* 1 (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0)) 2.0))>
* * * * [misc]progress:  [ 23 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (- (pow (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 3) (pow 1.0 3)) (+ (sqr (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) (- (sqr 1.0) (* (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0)))) 2.0))>
* [enter]simplify:  Simplifying (- (pow (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 3) (pow 1.0 3))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (292 enodes)
* [exit]simplify:  Simplified to (- (cube (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))) (cube 1.0))
* [exit]simplify:  Simplified to (- (cube (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))) (cube 1.0))
* [enter]simplify:  Simplifying (+ (sqr (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) (- (sqr 1.0) (* (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (fma 1.0 (- 1.0 (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))) (sqr (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))))
* [exit]simplify:  Simplified to (fma 1.0 (- 1.0 (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))) (sqr (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))))
* * * * [misc]progress:  [ 24 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (- (sqr (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) (sqr 1.0)) (- (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0)) 2.0))>
* [enter]simplify:  Simplifying (- (sqr (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) (sqr 1.0))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (322 enodes)
* [exit]simplify:  Simplified to (- (sqr (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))) (sqr 1.0))
* [exit]simplify:  Simplified to (- (sqr (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))) (sqr 1.0))
* [enter]simplify:  Simplifying (- (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (- (/ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha))) 1.0)
* [exit]simplify:  Simplified to (- (/ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha))) 1.0)
* * * * [misc]progress:  [ 25 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ 1.0 (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 2.0))>
* * * * [misc]progress:  [ 26 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (log1p (expm1 (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (expm1 (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (expm1 (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* [exit]simplify:  Simplified to (expm1 (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* * * * [misc]progress:  [ 27 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (expm1 (log1p (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log1p (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (log1p (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* [exit]simplify:  Simplified to (log1p (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* * * * [misc]progress:  [ 28 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (pow (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (/ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* * * * [misc]progress:  [ 29 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (pow (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1) 1.0) 2.0))>
* * * * [misc]progress:  [ 30 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (exp (+ (log (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (+ (log (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (+ (log (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (- (log (+ beta alpha)) (log (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (+ (log (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (- (log (+ beta alpha)) (log (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 31 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (exp (+ (log (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (log (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (+ (log (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (log (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (+ (log (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (log (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (+ (log (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (log (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 32 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (exp (log (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (log (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* [exit]simplify:  Simplified to (log (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* * * * [misc]progress:  [ 33 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (log (exp (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (exp (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (pow (exp (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))
* [exit]simplify:  Simplified to (pow (exp (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))
* * * * [misc]progress:  [ 34 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cbrt (* (cube (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (cube (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (477 enodes)
* [exit]simplify:  Simplified to (* (* (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (* (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha))))))
* [exit]simplify:  Simplified to (* (* (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (* (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha))))))
* * * * [misc]progress:  [ 35 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cbrt (* (cube (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (cube (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (251 enodes)
* [exit]simplify:  Simplified to (* (* (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (* (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha))))))
* [exit]simplify:  Simplified to (* (* (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (* (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (cube (/ (+ beta alpha) (fma 2 i (+ beta alpha))))))
* * * * [misc]progress:  [ 36 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cube (cbrt (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cbrt (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* [exit]simplify:  Simplified to (cbrt (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* * * * [misc]progress:  [ 37 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cbrt (cube (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cube (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (369 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* [exit]simplify:  Simplified to (cube (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* * * * [misc]progress:  [ 38 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cube (* (cbrt (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (cbrt (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (cbrt (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 39 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (cube (* (cbrt (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (cbrt (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) (cbrt (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* [exit]simplify:  Simplified to (* (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) (cbrt (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* * * * [misc]progress:  [ 40 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (sqr (sqrt (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (sqrt (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* [exit]simplify:  Simplified to (sqrt (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* * * * [misc]progress:  [ 41 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (sqr (* (sqrt (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (sqrt (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (sqrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (sqrt (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (sqrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 42 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (sqr (* (sqrt (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (sqrt (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta alpha)) (sqrt (fma 2 i (+ beta alpha)))) (sqrt (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta alpha)) (sqrt (fma 2 i (+ beta alpha)))) (sqrt (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* * * * [misc]progress:  [ 43 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- beta alpha) (+ alpha beta)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- beta alpha) (+ alpha beta))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* (- beta alpha) (+ beta alpha))
* [exit]simplify:  Simplified to (* (- beta alpha) (+ beta alpha))
* [enter]simplify:  Simplifying (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* * * * [misc]progress:  [ 44 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- (* beta (+ (fma i 2 beta) (+ 2.0 alpha))) (* (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) (+ alpha beta)) (* (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (* beta (+ (fma i 2 beta) (+ 2.0 alpha))) (* (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) (+ alpha beta))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (367 enodes)
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (* (- beta alpha) (+ beta alpha)))
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (* (- beta alpha) (+ beta alpha)))
* [enter]simplify:  Simplifying (* (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ (fma i 2 beta) (+ 2.0 alpha))) (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (* (fma 2 i (+ beta alpha)) (* (+ (+ alpha 2.0) (fma i 2 beta)) (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (* (fma 2 i (+ beta alpha)) (* (+ (+ alpha 2.0) (fma i 2 beta)) (+ (+ alpha 2.0) (fma i 2 beta))))
* * * * [misc]progress:  [ 45 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- (pow (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) 3) (pow (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) 3)) (+ alpha beta)) (* (+ (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (* (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (pow (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) 3) (pow (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) 3)) (+ alpha beta))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (314 enodes)
* [exit]simplify:  Simplified to (* (- (cube (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (cube (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (+ beta alpha))
* [exit]simplify:  Simplified to (* (- (cube (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (cube (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (+ beta alpha))
* [enter]simplify:  Simplifying (* (+ (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (* (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (377 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma 2 i (+ beta alpha)) (/ (+ (+ alpha 2.0) (fma i 2 beta)) alpha)) (+ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (/ (* (fma 2 i (+ beta alpha)) (sqr beta)) (* (+ (+ alpha 2.0) (fma i 2 beta)) (+ (+ alpha 2.0) (fma i 2 beta)))))
* [exit]simplify:  Simplified to (fma (/ (fma 2 i (+ beta alpha)) (/ (+ (+ alpha 2.0) (fma i 2 beta)) alpha)) (+ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (/ (* (fma 2 i (+ beta alpha)) (sqr beta)) (* (+ (+ alpha 2.0) (fma i 2 beta)) (+ (+ alpha 2.0) (fma i 2 beta)))))
* * * * [misc]progress:  [ 46 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (368 enodes)
* [exit]simplify:  Simplified to (* (fma (+ beta alpha) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ (* (+ beta alpha) beta) (+ (+ alpha 2.0) (fma i 2 beta)))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))
* [exit]simplify:  Simplified to (* (fma (+ beta alpha) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ (* (+ beta alpha) beta) (+ (+ alpha 2.0) (fma i 2 beta)))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))
* [enter]simplify:  Simplifying (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (* (+ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (* (+ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (fma 2 i (+ beta alpha)))
* * * * [misc]progress:  [ 47 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* 1 (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* * * * [misc]progress:  [ 48 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ 1 1)) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ 1 1))
* * [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 (29 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))
* * * * [misc]progress:  [ 49 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))
* * * * [misc]progress:  [ 50 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ alpha beta)) (/ 1 (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ alpha beta))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (* (+ beta alpha) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))
* [exit]simplify:  Simplified to (* (+ beta alpha) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))
* * * * [misc]progress:  [ 51 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* 1 (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (/ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* * * * [misc]progress:  [ 52 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (+ (sqrt (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqrt (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (* (- (sqrt (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqrt (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (sqrt (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqrt (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (sqrt (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (sqrt (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* [exit]simplify:  Simplified to (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (sqrt (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (sqrt (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* * * * [misc]progress:  [ 53 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* 1 (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (/ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* * * * [misc]progress:  [ 54 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))) (* (- beta alpha) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- beta alpha) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (* (- beta alpha) (+ beta alpha)) (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (* (- beta alpha) (+ beta alpha)) (fma 2 i (+ beta alpha)))
* * * * [misc]progress:  [ 55 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (+ (sqr (fma i 2 beta)) (- (sqr (+ 2.0 alpha)) (* (fma i 2 beta) (+ 2.0 alpha)))) (* (- (/ beta (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3))) (/ alpha (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (/ beta (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3))) (/ alpha (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (/ (- (/ beta (- (cube (fma i 2 beta)) (cube (+ alpha 2.0)))) (/ alpha (- (cube (fma i 2 beta)) (cube (+ alpha 2.0))))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (- (/ beta (- (cube (fma i 2 beta)) (cube (+ alpha 2.0)))) (/ alpha (- (cube (fma i 2 beta)) (cube (+ alpha 2.0))))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* * * * [misc]progress:  [ 56 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (260 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha beta) (fma 2 i (+ alpha beta))) (- (/ beta (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (fma i 2 beta) (+ alpha 2.0)))) (/ (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))) (- (fma i 2 beta) (+ alpha 2.0)))))
* [exit]simplify:  Simplified to (* (/ (+ alpha beta) (fma 2 i (+ alpha beta))) (- (/ beta (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (fma i 2 beta) (+ alpha 2.0)))) (/ (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))) (- (fma i 2 beta) (+ alpha 2.0)))))
* * * * [misc]progress:  [ 57 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ alpha beta)) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ alpha beta))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (* (+ beta alpha) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))
* [exit]simplify:  Simplified to (* (+ beta alpha) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))
* * * * [misc]progress:  [ 58 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- beta alpha) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- beta alpha) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (* (- beta alpha) (+ beta alpha)) (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (* (- beta alpha) (+ beta alpha)) (fma 2 i (+ beta alpha)))
* * * * [misc]progress:  [ 59 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- (* beta (+ (fma i 2 beta) (+ 2.0 alpha))) (* (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ (fma i 2 beta) (+ 2.0 alpha)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (* beta (+ (fma i 2 beta) (+ 2.0 alpha))) (* (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (256 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (+ alpha 2.0) (fma i 2 beta)) (* (+ beta alpha) (- beta alpha))) (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (* (+ (+ alpha 2.0) (fma i 2 beta)) (* (+ beta alpha) (- beta alpha))) (fma 2 i (+ beta alpha)))
* * * * [misc]progress:  [ 60 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- (pow (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) 3) (pow (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) 3)) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) (+ (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (* (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (pow (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) 3) (pow (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) 3)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (349 enodes)
* [exit]simplify:  Simplified to (/ (- (cube (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (cube (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (- (cube (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (cube (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* * * * [misc]progress:  [ 61 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (430 enodes)
* [exit]simplify:  Simplified to (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (* (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (* (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* [exit]simplify:  Simplified to (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (* (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (* (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))))
* * * * [misc]progress:  [ 62 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (+ alpha beta) (fma 2 i (+ alpha beta))) (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) 1.0) 2.0))>
* * * * [misc]progress:  [ 63 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (10 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 (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* [exit]simplify:  Simplified to (expm1 (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* * * * [misc]progress:  [ 64 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (expm1 (log1p (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log1p (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (10 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 (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* [exit]simplify:  Simplified to (log1p (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* * * * [misc]progress:  [ 65 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (pow (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) 1)) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* * * * [misc]progress:  [ 66 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (exp (log (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (10 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 (log (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* [exit]simplify:  Simplified to (log (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* * * * [misc]progress:  [ 67 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log (exp (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (exp (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (10 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 (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* [exit]simplify:  Simplified to (exp (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* * * * [misc]progress:  [ 68 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cbrt (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (10 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 (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* [exit]simplify:  Simplified to (cbrt (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* * * * [misc]progress:  [ 69 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (cbrt (cube (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cube (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (456 enodes)
* [exit]simplify:  Simplified to (cube (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* [exit]simplify:  Simplified to (cube (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* * * * [misc]progress:  [ 70 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (sqr (sqrt (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (sqrt (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (10 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 (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* [exit]simplify:  Simplified to (sqrt (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* * * * [misc]progress:  [ 71 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- alpha) (- (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- alpha)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- alpha)
* [exit]simplify:  Simplified to (- alpha)
* [enter]simplify:  Simplifying (- (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (- (+ (+ alpha 2.0) (fma i 2 beta)))
* [exit]simplify:  Simplified to (- (+ (+ alpha 2.0) (fma i 2 beta)))
* * * * [misc]progress:  [ 72 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (* 1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* * * * [misc]progress:  [ 73 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (* alpha (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ alpha 2.0) (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ 1 (+ (+ alpha 2.0) (fma i 2 beta)))
* * * * [misc]progress:  [ 74 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha 2.0) (fma i 2 beta)) alpha)
* [exit]simplify:  Simplified to (/ (+ (+ alpha 2.0) (fma i 2 beta)) alpha)
* * * * [misc]progress:  [ 75 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (/ alpha 1) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ alpha 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ alpha 1)
* [exit]simplify:  Simplified to (/ alpha 1)
* * * * [misc]progress:  [ 76 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (/ alpha 1) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ alpha 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ alpha 1)
* [exit]simplify:  Simplified to (/ alpha 1)
* * * * [misc]progress:  [ 77 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (* (/ alpha (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3))) (+ (sqr (fma i 2 beta)) (- (sqr (+ 2.0 alpha)) (* (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ alpha (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (/ alpha (- (cube (fma i 2 beta)) (cube (+ alpha 2.0))))
* [exit]simplify:  Simplified to (/ alpha (- (cube (fma i 2 beta)) (cube (+ alpha 2.0))))
* * * * [misc]progress:  [ 78 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (* (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (- (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (/ alpha (+ (+ 2.0 alpha) (fma i 2 beta))) (- (fma i 2 beta) (+ 2.0 alpha)))
* [exit]simplify:  Simplified to (/ (/ alpha (+ (+ 2.0 alpha) (fma i 2 beta))) (- (fma i 2 beta) (+ 2.0 alpha)))
* * * * [misc]progress:  [ 79 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (log1p (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (expm1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 80 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (expm1 (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (log1p (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 81 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (pow (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1)) 1.0) 2.0))>
* * * * [misc]progress:  [ 82 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (exp (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (- (log (+ alpha beta)) (log (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 83 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (exp (log (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (log (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 84 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (log (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (exp (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 85 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (cbrt (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (cube (+ alpha beta)) (cube (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (191 enodes)
* * [misc]simplify:  iters left: 1 (383 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 86 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 87 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (cbrt (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (266 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (cube (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 88 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 89 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (sqrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 90 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha beta)) (sqrt (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 91 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (- (+ alpha beta)) (- (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- (+ alpha beta))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (- (+ alpha beta))
* [exit]simplify:  Simplified to (- (+ alpha beta))
* [enter]simplify:  Simplifying (- (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (- (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (- (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 92 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (* (/ 1 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [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 (/ (+ alpha beta) (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha beta) (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (/ (+ alpha beta) (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 93 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (* 1 (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* * * * [misc]progress:  [ 94 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (* (+ alpha beta) (/ 1 (fma 2 i (+ alpha beta))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ 1 (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (/ 1 (fma 2 i (+ beta alpha)))
* * * * [misc]progress:  [ 95 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ 1 (/ (fma 2 i (+ alpha beta)) (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * * * [misc]progress:  [ 96 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (/ (+ alpha beta) 1) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ alpha beta) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha beta) 1)
* [exit]simplify:  Simplified to (/ (+ alpha beta) 1)
* * * * [misc]progress:  [ 97 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ 1 (/ (fma 2 i (+ alpha beta)) (+ alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* [exit]simplify:  Simplified to (/ (fma 2 i (+ alpha beta)) (+ alpha beta))
* * * * [misc]progress:  [ 98 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (- (pow alpha 3) (pow beta 3)) (* (fma 2 i (+ alpha beta)) (+ (sqr alpha) (- (sqr beta) (* alpha beta)))))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (fma 2 i (+ alpha beta)) (+ (sqr alpha) (- (sqr beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (* (fma beta (- beta alpha) (* alpha alpha)) (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (* (fma beta (- beta alpha) (* alpha alpha)) (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 99 / 99 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (- (sqr alpha) (sqr beta)) (* (fma 2 i (+ alpha beta)) (- alpha beta)))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (fma 2 i (+ alpha beta)) (- alpha beta))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (- alpha beta) (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (* (- alpha beta) (fma 2 i (+ alpha beta)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 12
* [misc]approximate:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]approximate:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]approximate:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (fma 2 i (+ alpha beta)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 i (+ beta alpha))) into (sqrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 i (+ beta alpha))) into (sqrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 i (+ beta alpha))) into (sqrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 i (+ beta alpha))) into (sqrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 i (+ beta alpha))) (sqrt (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 i (+ beta alpha))) 0) (* 0 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 i (+ beta alpha))) 0) (+ (* 0 0) (* 0 (sqrt (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) (* 0 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) (* 0 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 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 (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of 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 (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* -1 (/ 1 (+ 2.0 (fma i 2 beta)))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ -1 (+ 2.0 (fma i 2 beta))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ -1 (+ 2.0 (fma i 2 beta))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (* 1 (* alpha beta))) (+ (* (/ -1 (+ 2.0 (fma i 2 beta))) (* 1 (* alpha 1))) (* (/ 1 (+ 2.0 (fma i 2 beta))) (* 1 (* 1 beta))))) into (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (* 1 (* (/ 1 alpha) 1))) (+ (* 1 (* 1 (* (/ 1 alpha) (/ 1 (/ 1 beta))))) -1)) into (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1)
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) 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 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- 1)
* [misc]backup-simplify:  Simplify (/ 1 (- 1)) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 1) (* 0 0))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (* 1 (* (/ 1 (- alpha)) 1))) (+ (* 1 (* 1 (* (/ 1 (- alpha)) (/ 1 (/ 1 (- beta)))))) -1)) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 i (+ beta alpha))) into (sqrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 i (+ beta alpha))) (sqrt (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 i (+ beta alpha))) into (sqrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 i (+ beta alpha))) (sqrt (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 i (+ beta alpha))) into (sqrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 i (+ beta alpha))) (sqrt (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 i (+ beta alpha))) into (sqrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 i (+ beta alpha))) (sqrt (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ beta (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 i (+ beta alpha))) 0) (* 0 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 i (+ beta alpha))) 0) (+ (* 0 0) (* 0 (sqrt (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 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 (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 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 (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 i (+ beta alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma 2 i (+ beta alpha))) (* 1 (* beta 1))) (* (/ 1 (fma 2 i (+ beta alpha))) (* 1 (* 1 alpha)))) into (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) (* 0 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 beta) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (sqr 0) (+)) (* 2 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* 1 (/ 1 (/ 1 alpha))))) (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 (/ 1 beta)) 1)))) into (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) (* 0 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* 1 (/ 1 (/ 1 (- alpha)))))) (* (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* (/ 1 (/ 1 (- beta))) 1)))) into (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * [misc]progress:  tayloring alt 2 of 12
* [misc]approximate:  Taking taylor expansion of (+ (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta)))) into (/ (sqr beta) (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr beta) (sqr (+ 2.0 (fma i 2 beta)))) 0) into (/ (sqr beta) (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* (/ (sqr beta) (sqr (+ 2.0 (fma i 2 beta)))) beta) into (/ (pow beta 3) (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ (/ beta (+ 2.0 (fma i 2 beta))) 0) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (/ beta (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (/ (* beta (fma 2 i (+ beta alpha))) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ (/ (pow beta 3) (sqr (+ 2.0 (fma i 2 beta)))) (/ (* beta (fma 2 i (+ beta alpha))) (+ 2.0 (fma i 2 beta)))) into (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta 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 (+ (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (- (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (- (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ beta alpha)) into (* (- (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (+ (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (* (+ (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))) (fma 2 i (+ beta alpha))) into (* (+ (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (- (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ beta alpha)) (* (+ (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))) (fma 2 i (+ beta alpha)))) into (/ (* (- (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ beta alpha)) (* (+ (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) into (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (fma 2 i (+ beta alpha))) into (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) into (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (fma 2 i (+ beta alpha))) into (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta 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 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) 1.0) into (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ 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 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) into (- (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) into (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ 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 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (* 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) 1) (* 0 alpha)) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (fma 2 i (+ beta alpha)))) into (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))) (+ (* (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (/ (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* 0 0) (* 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) into (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) 0) (+ (* 0 1) (* (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) alpha))) into (/ alpha (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ alpha (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))) (+ (* (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (/ 0 (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))))) (* 0 (/ (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) 0) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) (sqr (* alpha (* 1 1)))) (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))) 1.0)) into (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (sqr beta) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (sqr beta) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (/ 1 (* (sqr beta) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (* (sqr beta) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr beta) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (+ (/ 1 (* beta (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 (* beta (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (+ (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr beta) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (* (+ (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr beta) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (* (+ (/ 1 (* beta (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) into (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 1) into (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) into (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 1) into (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (+ (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) 0) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (* 0 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 alpha)) (* 0 1)) into (/ 1 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) 0) into (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha) into (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha)))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))))) into (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 0)) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) (+ (* 0 (/ 1 alpha)) (* (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) 1))) into (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) (/ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))) 1.0) into (- (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)) into (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 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 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (+ 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into (+ 1.0 (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ 1.0 (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ 1.0 (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))) into (- (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ 1.0 (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) (- (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha))))))))) into (- (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* 1 1) (+ (* (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 0) (* (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))) (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) (* 0 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 alpha)) (* 0 1)))) into (- (/ 1 (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) (/ 0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))) (/ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) 0) into (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)) into (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log alpha)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 4 (log alpha)) into (* 4 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 4 (log alpha))) into (pow alpha 4)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log alpha)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 4 (log alpha)) into (* 4 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 4 (log alpha))) into (pow alpha 4)
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))))) into (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))) (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))))) into (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 0 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 0 1)) into (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 0 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 0 1)) into (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (* 0 (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow alpha 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log alpha))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log alpha))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow alpha 3) 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow alpha 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log alpha))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log alpha))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow alpha 3) 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 alpha) (* 1 (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta)) (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) (- (+ (/ 1 beta) (/ 1 alpha)))) into (* -1 (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta)) (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (- (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (* (- (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (* (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* -1 (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))))) (* -1 (* (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))) (* (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) into (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) -1) into (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) into (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) -1) into (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 0) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (* 0 (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (- (/ 1 alpha))) (* 0 -1)) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* 0 (- (/ 1 alpha))) (* (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) -1))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) (* 0 (/ (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 1.0) into (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 0) (* 0 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) (- (/ 1 alpha))) (* 0 -1)))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) (* 0 (/ 0 (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (- alpha)) (* 1 (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta)))) into (/ (sqr beta) (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr beta) (sqr (+ 2.0 (fma i 2 beta)))) 0) into (/ (sqr beta) (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* (/ (sqr beta) (sqr (+ 2.0 (fma i 2 beta)))) beta) into (/ (pow beta 3) (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ (/ beta (+ 2.0 (fma i 2 beta))) 0) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (/ beta (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (/ (* beta (fma 2 i (+ beta alpha))) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ (/ (pow beta 3) (sqr (+ 2.0 (fma i 2 beta)))) (/ (* beta (fma 2 i (+ beta alpha))) (+ 2.0 (fma i 2 beta)))) into (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (- (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (- (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ beta alpha)) into (* (- (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (+ (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (* (+ (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))) (fma 2 i (+ beta alpha))) into (* (+ (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (- (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ beta alpha)) (* (+ (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))) (fma 2 i (+ beta alpha)))) into (/ (* (- (/ (sqr beta) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ beta alpha)) (* (+ (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) into (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (fma 2 i (+ beta alpha))) into (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) into (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (fma 2 i (+ beta alpha))) into (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (* 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) 1) (* 0 alpha)) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (fma 2 i (+ beta alpha)))) into (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))) (+ (* (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (/ (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* 0 0) (* 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) into (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) 0) (+ (* 0 1) (* (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) alpha))) into (/ alpha (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ alpha (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))) (+ (* (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (/ 0 (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))))) (* 0 (/ (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (* 0 (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) 0) (+ (* 0 0) (+ (* (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) 1) (* 0 alpha)))) into (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))) (+ (* (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (/ 0 (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))))) (* 0 (/ 0 (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))))) (* (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ (fma 2 i (+ beta alpha)) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* alpha (* 1 (sqr beta)))) (+ (* (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* alpha (* 1 1)))) (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))))) into (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (sqr beta) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (sqr beta) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (/ 1 (* (sqr beta) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (* (sqr beta) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr beta) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (+ (/ 1 (* beta (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 (* beta (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (+ (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr beta) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (* (+ (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr beta) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (* (+ (/ 1 (* beta (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) into (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 1) into (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) into (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 1) into (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (* 0 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 alpha)) (* 0 1)) into (/ 1 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha) into (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))) into (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))) into (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))) (+ (* 0 (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 0)) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))) (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) (+ (* 0 (/ 1 alpha)) (* (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) 1))) into (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) (/ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)) into (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))) into (- (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) (- (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))))) into (- (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))) (+ (* 0 (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* 1 1) (+ (* (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 0) (* (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))) (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))) (+ (* 0 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (* 2 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (* 2 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (* 2 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (- (* 2 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) (* 0 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 alpha)) (* 0 1)))) into (- (/ 1 (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) (/ 0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))) (/ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log alpha)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 4 (log alpha)) into (* 4 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 4 (log alpha))) into (pow alpha 4)
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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 (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)) into (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log alpha)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 4 (log alpha)) into (* 4 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 4 (log alpha))) into (pow alpha 4)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))))) into (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))) (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))))) into (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 4) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 4) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 0 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 0 1)) into (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 0 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 0 1)) into (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 6.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (sqr alpha)))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow alpha 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log alpha))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log alpha))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow alpha 3) 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (* 0 (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow alpha 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log alpha))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log alpha))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow alpha 3) 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) alpha))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 0 1)) into (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 4.0 (* 2 (fma (/ 1 i) 2 (/ 1 beta))))) (* 0 1)) into (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 0 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 0 1)) into (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 3 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 alpha) (* 1 (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta)) (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) (- (+ (/ 1 beta) (/ 1 alpha)))) into (* -1 (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta)) (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (- (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (* (- (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (* (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* -1 (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))))) (* -1 (* (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr beta))) (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))) (* (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) into (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) -1) into (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) into (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) -1) into (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (* 0 (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (- (/ 1 alpha))) (* 0 -1)) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* 0 (- (/ 1 alpha))) (* (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) -1))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) (* 0 (/ (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 0) (* 0 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) (- (/ 1 alpha))) (* 0 -1)))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) (* 0 (/ 0 (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (- alpha)) (* 1 (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (fma 2 i (+ beta alpha))) into (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha (fma 2 i (+ beta alpha))) into (* alpha (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 (fma 2 i (+ beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta))) into (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (fma 2 i (+ beta alpha)))) into (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta))) into (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta))) into (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta))) into (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ (fma 2 i (+ beta alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ (fma 2 i (+ beta alpha)) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ (fma 2 i (+ beta alpha)) (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ (fma 2 i (+ beta alpha)) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ (fma 2 i (+ beta alpha)) (sqr (+ 2.0 (fma i 2 beta))))) (* alpha (* 1 beta))) (+ (* (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta))) (* alpha (* 1 1))) (* (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta))) (* 1 (* 1 beta))))) into (- (+ (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (fma i 2 beta))) (/ (* beta (fma 2 i (+ beta alpha))) (+ 2.0 (fma i 2 beta)))) (/ (* beta (* alpha (fma 2 i (+ beta alpha)))) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))) into (- (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))) (* (/ 1 alpha) (* 1 1))) (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (/ 1 alpha) (* 1 (/ 1 (/ 1 beta))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) alpha)) (+ (* 2.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))) alpha)))
* [misc]approximate:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) -1) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) into (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- 1)
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- 1)) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (+ (* (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 1) (* 0 0))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- 1)) (+ (* (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (/ 1 (- alpha)) (* 1 1))) (+ (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 (- alpha)) (* 1 (/ 1 (/ 1 (- beta)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (+ (/ (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha)) (/ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) alpha)))
* [misc]approximate:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) into (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma i 2 beta) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) into (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) into (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (* 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) 1) (* 0 alpha)) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma i 2 beta) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) into (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow alpha 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log alpha))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log alpha))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (+ (* (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* 0 0) (* 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) into (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) 0) (+ (* 0 1) (* (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) alpha))) into (/ alpha (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma i 2 beta) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) into (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ alpha (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (+ (* (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow alpha 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow alpha 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log alpha))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma i 2 beta) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (+ (* (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (* 0 (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (* 0 (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) 0) (+ (* 0 0) (+ (* (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) 1) (* 0 alpha)))) into (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma i 2 beta) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (+ 2.0 (+ (fma i 2 beta) alpha))) into (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) into (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (+ (* (/ alpha (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma i 2 beta) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (+ (* (/ (sqr alpha) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (* 0 (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow alpha 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow alpha 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow alpha 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log alpha))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (+ (* (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (* 0 (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))) (* 0 (/ 0 (sqr (+ 2.0 (+ (fma i 2 beta) alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow alpha 3) (sqr (+ 2.0 (+ (fma i 2 beta) alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (* (sqr alpha) (* 1 beta))) (+ (* (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) (* alpha (* 1 (sqr beta)))) (* (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) (pow (* 1 (* 1 beta)) 3)))) into (- (+ (/ (* (sqr beta) alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (pow beta 3) (sqr (+ 2.0 (fma i 2 beta))))) (/ (* beta (sqr alpha)) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) into (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 1) into (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (* 0 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 alpha)) (* 0 1)) into (/ 1 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) (+ (* 0 (/ 1 alpha)) (* (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) 1))) into (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)) into (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))) (+ (* 0 (+ (* 2 (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) (* 0 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* (- (/ 1 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 alpha)) (* 0 1)))) into (- (/ 1 (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (pow alpha 3) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (- (/ 1 (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqr alpha) (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (sqr alpha) (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 0 (* alpha (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (sqr (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* (/ 1 alpha) (* 1 (/ 1 (sqr (/ 1 beta)))))) (+ (* -1 (* 1 (* 1 (/ 1 (/ 1 beta))))) (* -1 (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (/ (sqr beta) alpha) (+ beta alpha))
* [misc]approximate:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) into (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) -1) into (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (* 0 (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (- (/ 1 alpha))) (* 0 -1)) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha) into (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha)) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha))) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) -1)) into (- (+ 4.0 (* 2 (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* (- (+ 4.0 (* 2 (fma (/ -1 i) 2 (/ -1 beta))))) 0)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (+ (* (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ 0 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))) into (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* 0 (- (/ 1 alpha))) (* (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) -1))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)) into (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) -1)) into (- (+ 4.0 (* 2 (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ 4.0 (* 2 (fma (/ -1 i) 2 (/ -1 beta))))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (* 0 -1))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 1 1) (+ (* (- (+ 4.0 (* 2 (fma (/ -1 i) 2 (/ -1 beta))))) 0) (* (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha)) (/ 0 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (+ (* (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ 0 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (* 0 (/ 0 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 0) (* 0 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* (- (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))) (- (/ 1 alpha))) (* 0 -1)))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (pow alpha 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log 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 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3)) into (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3))) into (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (pow alpha 3) in alpha
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (* 0 (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha))) (/ 0 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (sqr alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha)) (/ 0 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha))) (* 0 (/ 0 (* (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (+ (* (/ -1 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ 0 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (* 0 (/ 0 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (* 0 (/ 0 (sqr (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ (* -1 (* (/ 1 (- alpha)) (* 1 (/ 1 (sqr (/ 1 (- beta))))))) (+ (* 1 (* 1 (* 1 (/ 1 (/ 1 (- beta)))))) (* 1 (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (/ (sqr beta) alpha) (+ beta alpha))
* * * [misc]progress:  tayloring alt 3 of 12
* [misc]approximate:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]approximate:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0)
* [misc]approximate:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (fma 2 i (+ alpha beta)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 i (+ alpha beta)))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 i (+ alpha beta)))) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 i (+ alpha beta)))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 i (+ alpha beta)))) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 i (+ alpha beta)))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 i (+ alpha beta)))) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 i (+ alpha beta)))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 i (+ alpha beta)))) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ beta alpha))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ beta alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ beta alpha))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ beta alpha))) into (cbrt (fma 2 i (+ beta 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ beta alpha))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 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 (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of 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 (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* -1 (/ 1 (+ 2.0 (fma i 2 beta)))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ -1 (+ 2.0 (fma i 2 beta))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ -1 (+ 2.0 (fma i 2 beta))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (* 1 (* alpha beta))) (+ (* (/ -1 (+ 2.0 (fma i 2 beta))) (* 1 (* alpha 1))) (* (/ 1 (+ 2.0 (fma i 2 beta))) (* 1 (* 1 beta))))) into (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (* 1 (* (/ 1 alpha) 1))) (+ (* 1 (* 1 (* (/ 1 alpha) (/ 1 (/ 1 beta))))) -1)) into (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1)
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) 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 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- 1)
* [misc]backup-simplify:  Simplify (/ 1 (- 1)) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 1) (* 0 0))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (* 1 (* (/ 1 (- alpha)) 1))) (+ (* 1 (* 1 (* (/ 1 (- alpha)) (/ 1 (/ 1 (- beta)))))) -1)) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1)
* * * [misc]progress:  tayloring alt 4 of 12
* [misc]approximate:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (* 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (/ beta (- (sqr (fma i 2 beta)) 4.0)) into (/ beta (- (sqr (fma i 2 beta)) 4.0))
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 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 (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 alpha) into (* 4.0 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (* 4.0 alpha) (sqr alpha)) into (+ (* 4.0 alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) into (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) 4.0)) into (/ 1 (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) 4.0)) into (/ 1 (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 1) (* 0 0)) into 4.0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 4.0)) into (- 4.0)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (/ (- 4.0) (- (sqr (fma i 2 beta)) 4.0))))) into (* 4.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) into (/ 4.0 (sqr (- (sqr (fma i 2 beta)) 4.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (+ (* 0 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (/ -1 (- (sqr (fma i 2 beta)) 4.0))) (* (* 4.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ (- 4.0) (- (sqr (fma i 2 beta)) 4.0))))) into (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) into (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (* (sqr alpha) (* 1 beta))) (+ (* (/ 4.0 (sqr (- (sqr (fma i 2 beta)) 4.0))) (* alpha (* 1 beta))) (* (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (* 1 (* 1 beta))))) into (+ (* 4.0 (/ (* beta alpha) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (+ (* 16.0 (/ (* beta (sqr alpha)) (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (+ (/ beta (- (sqr (fma i 2 beta)) 4.0)) (/ (* beta (sqr alpha)) (sqr (- (sqr (fma i 2 beta)) 4.0))))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) -1) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (* 0 (+ 2.0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 4.0)) into (- 4.0)
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ (- 4.0) -1)))) into 4.0
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- 4.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) -1)) (* 4.0 (/ (- 4.0) -1)))) into (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0))
* [misc]backup-simplify:  Simplify (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0)) into (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0)) (* (pow (/ 1 alpha) 4) (* 1 (/ 1 (/ 1 beta))))) (+ (* 4.0 (* (pow (/ 1 alpha) 3) (* 1 (/ 1 (/ 1 beta))))) (* -1 (* (sqr (/ 1 alpha)) (* 1 (/ 1 (/ 1 beta))))))) into (- (* 4.0 (/ beta (pow alpha 3))) (+ (/ beta (sqr alpha)) (+ (* 12.0 (/ beta (pow alpha 4))) (/ (* beta (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (pow alpha 4)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 alpha) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) 4.0) into (+ (/ 1 (sqr alpha)) 4.0)
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) 4.0)) into (- (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (- (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (* 0 (- 2.0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [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 (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 4.0 -1)))) into 4.0
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (- 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- 4.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0) -1)) (* 4.0 (/ 4.0 -1)))) into (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (pow (/ 1 (- alpha)) 4) (* 1 (/ 1 (/ 1 (- beta)))))) (+ (* 4.0 (* (pow (/ 1 (- alpha)) 3) (* 1 (/ 1 (/ 1 (- beta)))))) (* 1 (* (sqr (/ 1 (- alpha))) (* 1 (/ 1 (/ 1 (- beta)))))))) into (- (* 4.0 (/ beta (pow alpha 3))) (+ (/ (* beta (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (pow alpha 4)) (+ (* 12.0 (/ beta (pow alpha 4))) (/ beta (sqr alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (* 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (/ beta (- (sqr (fma i 2 beta)) 4.0)) into (/ beta (- (sqr (fma i 2 beta)) 4.0))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 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 beta)) (sqr (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (* 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) 4.0)) into (/ 1 (- (sqr (fma i 2 beta)) 4.0))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 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 (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta 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 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 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 (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (- (+ 2.0 alpha)) into (- (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (- (+ 2.0 alpha))) into (- (fma i 2 beta) (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) into (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))) into (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) into (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (+ beta alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (* (- (fma i 2 beta) (+ 2.0 alpha)) (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (+ beta alpha)) (fma 2 i (+ beta alpha)))) into (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* (- (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* (- (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha))) (fma 2 i (+ beta alpha))) 1.0) into (- (+ (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (* (sqr beta) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ (* beta (* (fma i 2 beta) alpha)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)))) (+ (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (* 2.0 (/ (sqr beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (* (sqr beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ (* beta (* alpha (fma i 2 beta))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (* (sqr beta) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ (* beta (* (fma i 2 beta) alpha)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)))) (+ (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (* 2.0 (/ (sqr beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (* (sqr beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ (* beta (* alpha (fma i 2 beta))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (* (sqr beta) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ (* beta (* (fma i 2 beta) alpha)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 alpha) into (* 4.0 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (* 4.0 alpha) (sqr alpha)) into (+ (* 4.0 alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) into (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) into (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr beta) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ (* beta (* (fma i 2 beta) alpha)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr beta) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr beta) (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 beta)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma i 2 beta)))) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 alpha) into (* 4.0 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (* 4.0 alpha) (sqr alpha)) into (+ (* 4.0 alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) into (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) into (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* beta (* (fma i 2 beta) alpha)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* (fma i 2 beta) alpha)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (* (fma i 2 beta) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 beta) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) alpha) into (* (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (* 0 (* (fma i 2 beta) alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma i 2 beta) alpha))) into (* (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 alpha) into (* 4.0 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (* 4.0 alpha) (sqr alpha)) into (+ (* 4.0 alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) into (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) into (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 alpha) into (* 4.0 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (* 4.0 alpha) (sqr alpha)) into (+ (* 4.0 alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) into (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) into (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (* 2.0 (/ (sqr beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (* (sqr beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ (* beta (* alpha (fma i 2 beta))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma i 2 beta)) into (* (sqr alpha) (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 alpha) into (* 4.0 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (* 4.0 alpha) (sqr alpha)) into (+ (* 4.0 alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) into (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) into (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (sqr beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (* (sqr beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ (* beta (* alpha (fma i 2 beta))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (sqr beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 alpha) into (* 4.0 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (* 4.0 alpha) (sqr alpha)) into (+ (* 4.0 alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) into (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) into (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ (* beta (* alpha (fma i 2 beta))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr beta) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 alpha))) into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 alpha) into (* 4.0 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (* 4.0 alpha) (sqr alpha)) into (+ (* 4.0 alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) into (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) into (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (* alpha (fma i 2 beta))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (* alpha (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha (fma i 2 beta)) into (* alpha (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 0 (* alpha (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* alpha (fma i 2 beta)))) into (* alpha (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 alpha) into (* 4.0 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (* 4.0 alpha) (sqr alpha)) into (+ (* 4.0 alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) into (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) into (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) into (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0) into (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)) into (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)) into (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)) into (+ (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 0) into (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) into (- (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)) (- (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))) into (- (+ (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)) (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)) (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta 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 (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 beta)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma i 2 beta)))) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) 0) (* 0 (/ (+ beta alpha) (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) 0) (* 0 (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (+ beta alpha)) (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow alpha 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log alpha))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log alpha))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (* (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 0) into (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) into (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) into (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (* (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) into (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) into (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) into (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) into (- (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (- (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))) into (- (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 1) (* 0 0)) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 beta)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 beta))) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (+ (* 0 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (+ (* 0 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) 0) (+ (* 0 0) (* 0 (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) 0) (+ (* 0 0) (* 0 (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (+ beta alpha)) (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma i 2 beta) alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (* (/ (* (fma i 2 beta) alpha) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow alpha 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow alpha 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log alpha))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (* (/ (pow alpha 3) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 0) into (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) into (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (* (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) into (/ 2.0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* alpha (fma i 2 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (* (/ (* alpha (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ 0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) 0) into (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) into (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) into (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) into (- (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (- (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))))) into (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) into (/ 2.0 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) into (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) into (- (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (- (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))) into (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) into (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) into (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) into (/ 2.0 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) 0) into (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) into (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) into (- (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) into (- (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) (sqr (* alpha (* 1 1)))) (+ (* (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) (sqr (* 1 (* beta 1)))) 1.0)) into (- (+ 1.0 (+ (/ (* (sqr beta) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))) (+ (* 2.0 (/ (sqr beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) -1) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (/ 1 alpha))) into (- (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (- (+ 2.0 (/ 1 alpha)))) into (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) into (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) into (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (+ (/ 1 beta) (/ 1 alpha)) (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (* (+ (/ 1 beta) (/ 1 alpha)) (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) into (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (sqr alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (sqr alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)
* [misc]backup-simplify:  Simplify (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) into (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0)) into (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha) into (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)
* [misc]backup-simplify:  Simplify (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) into (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0)) into (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) into (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (pow alpha 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)) into (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)) into (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))
* [misc]backup-simplify:  Simplify (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (* 0 (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) into (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (+ 1 (+ (* 4.0 (sqr alpha)) (* 4.0 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (+ 1 (+ (* 4.0 (sqr alpha)) (* 4.0 alpha))))) (* 0 0)) into (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) into (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* 0 0) (* 0 0))) into (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)) into (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (sqr alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr beta) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha) into (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)
* [misc]backup-simplify:  Simplify (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) into (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (+ (* 0 0) (* 0 0))) into (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) into (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (sqr alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)) into (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (sqr alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (sqr alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (sqr alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (sqr alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))
* [misc]backup-simplify:  Simplify (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) into (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (+ 1 (+ (* 4.0 (sqr alpha)) (* 4.0 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (+ 1 (+ (* 4.0 (sqr alpha)) (* 4.0 alpha))))) (* 0 0)) into (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) into (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* 0 0) (* 0 0))) into (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) into (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* alpha (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)
* [misc]backup-simplify:  Simplify (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) into (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0)) into (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) into (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha) into (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)
* [misc]backup-simplify:  Simplify (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) into (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0)) into (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) 0) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) into (/ 2.0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) 0) into (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))) into (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))) into (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))) into (+ (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))) into (- (+ (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (- (+ (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into (- (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (+ (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (+ (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 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 (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (* 0 (+ 2.0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (* 0 (+ 2.0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) 0) (* 0 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))) into (/ 2.0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) 0) into (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))) into (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))) into (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))) into (/ 2.0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))))) into (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))))) into (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))))) into (- (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) (- (+ (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (* 2.0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (+ 1 (+ (* 4.0 (sqr alpha)) (* 4.0 alpha))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) into (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 2.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) into (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))) into (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))) into (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (+ 1 (+ (* 4.0 (sqr alpha)) (* 4.0 alpha))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) 0) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (- (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) into (- (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))) (- (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))) into (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [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 (pow alpha 3) in alpha
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) -1) into (* -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr 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 (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 4.0)) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- 4.0) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- 4.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 1) (+ (* (- 4.0) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 0))) into (- 1)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- 1)) (+ (* 0 0) (* 0 0))) into (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 4.0)) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- 4.0) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- 4.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 1) (+ (* (- 4.0) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 0))) into (- 1)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- 1)) (+ (* 0 0) (* 0 0))) into (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 0) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow alpha 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log alpha))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log alpha))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (* 0 (pow alpha 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (+ 1 (+ (* 4.0 (sqr alpha)) (* 4.0 alpha))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (* 0 (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (* 0 (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (+ 1 (+ (* 4.0 (sqr alpha)) (* 4.0 alpha))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha))) (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 (- (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ 4.0 (+ (* 4.0 alpha) (/ 1 alpha))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))) (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))) (* 0 (/ 0 (- (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha)) (+ (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) (+ (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 4.0)) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- 4.0) 1)) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- 4.0)) (* 0 -1)) into (- (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (- (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ -2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ -2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- 1.0 (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- 1.0 (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0)
* [misc]backup-simplify:  Simplify (- (* -1 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 alpha) (* (/ 1 (sqr (/ 1 beta))) 1))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (- 2.0 (/ 1 alpha))) into (- (/ 1 alpha) 2.0)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0)) into (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0)
* [misc]backup-simplify:  Simplify (- (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) into (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) into (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (- (+ (/ 1 (* (sqr beta) (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ 1.0 (+ (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr beta) (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))))) (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (sqr beta) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* (sqr beta) (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ 1.0 (+ (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr beta) (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))))) (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (sqr beta) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (sqr beta) (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ 1.0 (+ (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr beta) (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr beta) (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr beta) (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 alpha) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) 4.0) into (+ (/ 1 (sqr alpha)) 4.0)
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) 4.0)) into (- (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (- (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* 0 (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (+ (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr beta) (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr beta) (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 alpha) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) 4.0) into (+ (/ 1 (sqr alpha)) 4.0)
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) 4.0)) into (- (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (- (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr beta) (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* (sqr beta) (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 alpha) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) 4.0) into (+ (/ 1 (sqr alpha)) 4.0)
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) 4.0)) into (- (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (- (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 0) (* 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 2.0 (/ 1 (* (sqr beta) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (log alpha) into (log alpha)
* [misc]backup-simplify:  Simplify (* 3 (log alpha)) into (* 3 (log alpha))
* [misc]backup-simplify:  Simplify (exp (* 3 (log alpha))) into (pow alpha 3)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 alpha) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) 4.0) into (+ (/ 1 (sqr alpha)) 4.0)
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) 4.0)) into (- (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (- (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (sqr beta) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (sqr beta) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr beta) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr beta) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 alpha) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) 4.0) into (+ (/ 1 (sqr alpha)) 4.0)
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) 4.0)) into (- (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (- (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 alpha) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) 4.0) into (+ (/ 1 (sqr alpha)) 4.0)
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) 4.0)) into (- (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (- (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (/ 2.0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 0) into (* 2.0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into (* 2.0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (* 2.0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into (- (* 2.0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (- (* 2.0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into (- (+ (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 2.0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 2.0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 1) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 0) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 1) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 1) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 0) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* -1 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 1) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 1) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 0) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (* 0 (- 2.0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) 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 (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (* 0 (- 2.0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) 0) (* 0 (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) 0) (* 0 (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ 0 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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 (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (- 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (- 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) 0) (+ (* 0 0) (* 0 (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) 0) (+ (* 0 0) (* 0 (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ 0 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) (* 0 (/ 0 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))))) into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (/ 2.0 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 0 (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 0) into (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ 1.0 (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ 1.0 (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into (+ 1.0 (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 0 (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (+ 1.0 (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (- (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into (- (+ 1.0 (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ 1.0 (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 0 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- 4.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 4.0 0) (* (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (- (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 0 (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 4.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- 4.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 0) (* (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0) 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* -1 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 0) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* alpha (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ 0 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) (* 0 (/ 0 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) (* 0 (/ 0 (- (+ (* alpha (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* 4.0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 0 (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 0 (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow alpha 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log alpha))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log alpha))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow alpha 3) 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 0 (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 0 (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha))) (+ (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (sqr alpha)) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) 0) (* 0 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ -2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (- (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* -1 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (- 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (* (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (/ 1 (- alpha)) (* (/ 1 (sqr (/ 1 (- beta)))) 1))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 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 beta)) (sqr (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (* 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) 4.0)) into (/ 1 (- (sqr (fma i 2 beta)) 4.0))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 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 beta)) (sqr (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (* 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) 4.0)) into (/ 1 (- (sqr (fma i 2 beta)) 4.0))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 beta)) 4.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) 4.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) 4.0)) into (/ 1 (- (sqr (fma i 2 beta)) 4.0))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 beta)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) 4.0)) into (/ 1 (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) 4.0)) into (/ 1 (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 1 2.0)) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 4.0)) into (- 4.0)
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 beta)) 4.0)) (+ (* (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (/ (- 4.0) (- (sqr (fma i 2 beta)) 4.0))))) into (* 4.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 beta)) 4.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) 4.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (- (sqr (fma i 2 beta)) 4.0)) into (sqr (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))) into (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) into (/ 4.0 (sqr (- (sqr (fma i 2 beta)) 4.0)))
* [misc]taylor:  Taking taylor expansion of (/ 4.0 (sqr (- (sqr (fma i 2 beta)) 4.0))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 beta)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (- (sqr (fma i 2 beta)) 4.0)) into (sqr (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (/ 4.0 (sqr (- (sqr (fma i 2 beta)) 4.0))) into (/ 4.0 (sqr (- (sqr (fma i 2 beta)) 4.0)))
* [misc]backup-simplify:  Simplify (/ 4.0 (sqr (- (sqr (fma i 2 beta)) 4.0))) into (/ 4.0 (sqr (- (sqr (fma i 2 beta)) 4.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (/ 0 (- (sqr (fma i 2 beta)) 4.0))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (/ 0 (- (sqr (fma i 2 beta)) 4.0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 1 1) (* 0 2.0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 beta)) 4.0)) (+ (* (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (/ -1 (- (sqr (fma i 2 beta)) 4.0))) (* (* 4.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ (- 4.0) (- (sqr (fma i 2 beta)) 4.0))))) into (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 16.0 in i
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 beta)) 4.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 beta)) 4.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 beta)) 4.0))) 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 beta)) 4.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) 4.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 beta)) 4.0)) into (log (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 beta)) 4.0))) into (* 3 (log (- (sqr (fma i 2 beta)) 4.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 beta)) 4.0)))) into (pow (- (sqr (fma i 2 beta)) 4.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3)) into (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 beta)) 4.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) 4.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (- (sqr (fma i 2 beta)) 4.0)) into (sqr (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))) into (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))
* [misc]backup-simplify:  Simplify (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) into (/ 16.0 (pow (- (sqr (fma i 2 beta)) 4.0) 3))
* [misc]backup-simplify:  Simplify (+ (/ 16.0 (pow (- (sqr (fma i 2 beta)) 4.0) 3)) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) into (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of 16.0 in beta
* [misc]backup-simplify:  Simplify 16.0 into 16.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 beta)) 4.0) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 beta)) 4.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 beta)) 4.0))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 beta)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 beta)) 4.0)) into (log (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 beta)) 4.0))) into (* 3 (log (- (sqr (fma i 2 beta)) 4.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 beta)) 4.0)))) into (pow (- (sqr (fma i 2 beta)) 4.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3)) into (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 beta)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (- (sqr (fma i 2 beta)) 4.0)) into (sqr (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))) into (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))
* [misc]backup-simplify:  Simplify (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) into (/ 16.0 (pow (- (sqr (fma i 2 beta)) 4.0) 3))
* [misc]backup-simplify:  Simplify (+ (/ 16.0 (pow (- (sqr (fma i 2 beta)) 4.0) 3)) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) into (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) into (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 16.0 (/ 1 (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (pow (* 1 (* 1 alpha)) 3)) (+ (* (/ 4.0 (sqr (- (sqr (fma i 2 beta)) 4.0))) (sqr (* 1 (* 1 alpha)))) (* (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (* 1 (* 1 alpha))))) into (+ (* 16.0 (/ (pow alpha 3) (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (+ (* 4.0 (/ (sqr alpha) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (+ (/ alpha (- (sqr (fma i 2 beta)) 4.0)) (/ (pow alpha 3) (sqr (- (sqr (fma i 2 beta)) 4.0))))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (* 1 2.0) (* 2.0 1)) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 4.0)) into (- 4.0)
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* -1 (/ (- 4.0) -1)))) into 4.0
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [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) (+ (* 2.0 2.0) (* 0 1))) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- 4.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* -1 (/ (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) -1)) (* 4.0 (/ (- 4.0) -1)))) into (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of 12.0 in i
* [misc]backup-simplify:  Simplify 12.0 into 12.0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0) into (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0)
* [misc]backup-simplify:  Simplify (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0)) into (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of 12.0 in beta
* [misc]backup-simplify:  Simplify 12.0 into 12.0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0) into (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0)
* [misc]backup-simplify:  Simplify (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0)) into (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0))
* [misc]backup-simplify:  Simplify (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0)) into (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 12.0)) (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* 4.0 (sqr (* 1 (* 1 (/ 1 alpha))))) (* -1 (* 1 (* 1 (/ 1 alpha)))))) into (- (* 4.0 (/ 1 (sqr alpha))) (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (pow alpha 3)) (+ (* 12.0 (/ 1 (pow alpha 3))) (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (* -1 2.0) (* 2.0 -1)) into (- 4.0)
* [misc]backup-simplify:  Simplify (- (- 4.0)) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 4.0 -1)))) into 4.0
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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) (+ (* 2.0 2.0) (* 0 -1))) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- 4.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0) -1)) (* 4.0 (/ 4.0 -1)))) into (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]taylor:  Taking taylor expansion of (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of 12.0 in i
* [misc]backup-simplify:  Simplify 12.0 into 12.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]taylor:  Taking taylor expansion of (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 12.0 in beta
* [misc]backup-simplify:  Simplify 12.0 into 12.0
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* (+ 12.0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* 4.0 (sqr (* 1 (* 1 (/ 1 (- alpha)))))) (* 1 (* 1 (* 1 (/ 1 (- alpha))))))) into (- (* 4.0 (/ 1 (sqr alpha))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (pow alpha 3)) (+ (* 12.0 (/ 1 (pow alpha 3))) (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (* 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (/ beta (- (sqr (fma i 2 beta)) 4.0)) into (/ beta (- (sqr (fma i 2 beta)) 4.0))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 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 beta)) (sqr (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (* 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) 4.0)) into (/ 1 (- (sqr (fma i 2 beta)) 4.0))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 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 (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 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 (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2.0 alpha) (+ 2.0 alpha)) into (sqr (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 alpha))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (- (+ 2.0 alpha)) into (- (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (- (+ 2.0 alpha))) into (- (fma i 2 beta) (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) into (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))) into (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) into (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (+ beta alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (* (- (fma i 2 beta) (+ 2.0 alpha)) (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (+ beta alpha)) (fma 2 i (+ beta alpha)))) into (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* (- (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha))) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* (- (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha))) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* (- (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 alpha) into (* 4.0 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (* 4.0 alpha) (sqr alpha)) into (+ (* 4.0 alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) into (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 alpha) into (* 4.0 alpha)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (* 4.0 alpha) (sqr alpha)) into (+ (* 4.0 alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) into (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) into (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]backup-simplify:  Simplify (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) into (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))) into (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (- (+ 2.0 alpha)) into (- (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (- (+ 2.0 alpha))) into (- (fma i 2 beta) (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (* (- (fma i 2 beta) (+ 2.0 alpha)) alpha) into (* alpha (- (fma i 2 beta) (+ 2.0 alpha)))
* [misc]backup-simplify:  Simplify (* (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* alpha (- (fma i 2 beta) (+ 2.0 alpha)))) into (* -1 (/ (* (sqr alpha) (- (fma i 2 beta) (+ 2.0 alpha))) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (* (sqr alpha) (- (fma i 2 beta) (+ 2.0 alpha))) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (fma 2 i (+ beta alpha))) into (* -1 (/ (* (sqr alpha) (- (fma i 2 beta) (+ 2.0 alpha))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (* (sqr alpha) (- (fma i 2 beta) (+ 2.0 alpha))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (- (fma i 2 beta) (+ 2.0 alpha))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (- (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (- 2.0) into (- 2.0)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (- 2.0)) into (- (fma i 2 beta) 2.0)
* [misc]backup-simplify:  Simplify (* 0 (- (fma i 2 beta) 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 -1) (* 0 (- (fma i 2 beta) 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 -1) (* 1 (- (fma i 2 beta) 2.0)))) into (- (fma i 2 beta) 2.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (- (fma i 2 beta) 2.0) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ (- (fma i 2 beta) 2.0) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) 0) (* 0 (/ (+ beta alpha) (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) 0) (* 0 (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (+ beta alpha)) (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 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 beta) (+ 2.0 alpha)) 1) (* 0 alpha)) into (- (fma i 2 beta) (+ 2.0 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) 0) into (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (- (fma i 2 beta) (+ 2.0 alpha))) (* (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (* alpha (- (fma i 2 beta) (+ 2.0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (* -1 (/ (* (sqr alpha) (- (fma i 2 beta) (+ 2.0 alpha))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (+ (* 0 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (+ (* 0 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) 0) (+ (* 0 0) (* 0 (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) 0) (+ (* 0 0) (* 0 (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (+ beta alpha)) (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 beta) (+ 2.0 alpha)) 0) (+ (* 0 1) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) 0) (+ (* (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (- (fma i 2 beta) (+ 2.0 alpha))) (* 0 (* alpha (- (fma i 2 beta) (+ 2.0 alpha)))))) into (- (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))) (fma 2 i (+ beta alpha))) (+ (* (* -1 (/ (* (sqr alpha) (- (fma i 2 beta) (+ 2.0 alpha))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 alpha) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (- 4.0)) into (- (sqr (fma i 2 beta)) 4.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))) into (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) into (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) into (/ 2.0 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) into (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) into (- (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (- (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))) into (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) into (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 (/ (- (fma i 2 beta) 2.0) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) into (* -1 (/ (- (fma i 2 beta) 2.0) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (* -1 (/ (- (fma i 2 beta) 2.0) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) into (* -1 (/ (- (fma i 2 beta) 2.0) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 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 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (+ beta alpha) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (- (/ beta (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (+ beta alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 beta) (+ 2.0 alpha)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (* 0 (/ 0 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) 0) (+ (* (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) 0) (+ (* 0 (- (fma i 2 beta) (+ 2.0 alpha))) (* 0 (* alpha (- (fma i 2 beta) (+ 2.0 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (* -1 (/ (* (sqr alpha) (- (fma i 2 beta) (+ 2.0 alpha))) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))) (* (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (+ (/ alpha (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))) (fma 2 i (+ beta alpha))))))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (- (fma i 2 beta) 2.0) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) (sqr (* alpha (* 1 1)))) (* (- (/ (fma i 2 beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ 1 (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) (sqr (* 1 (* beta 1))))) into (- (+ (/ (* (sqr beta) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) (+ (* 2.0 (/ (sqr beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))
* [misc]approximate:  Taking taylor expansion of (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) -1) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (/ 1 alpha)) (+ 2.0 (/ 1 alpha))) into (sqr (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (+ 2.0 (/ 1 alpha)))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (/ 1 alpha))) into (- (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (- (+ 2.0 (/ 1 alpha)))) into (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) into (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) into (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (+ (/ 1 beta) (/ 1 alpha)) (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (/ 1 beta) (/ 1 alpha)) (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 alpha)) (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (+ 4.0 (/ 4.0 alpha)) into (+ 4.0 (* 4.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) into (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) into (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha) into (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) 0) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (/ 1 alpha))) into (- (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (- (+ 2.0 (/ 1 alpha)))) into (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* 1 (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) into (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) -1) into (* -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (* -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (* 0 (+ 2.0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (* 0 (+ 2.0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) 0) (* 0 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) into (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) into (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) 0) (* (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (+ (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) (* 2.0 (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 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 (- (+ (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) (* 2.0 (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (* (/ 1 alpha) (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) (/ 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) 0) (+ (* (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) 0) (* 0 (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (/ 1 alpha) (- (+ (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) (* 2.0 (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (* 0 (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into (- (+ (* 2.0 (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 2.0 (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [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 (pow alpha 3) in alpha
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) -1) into (* -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 4.0)) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- 4.0) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- 4.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 1) (+ (* (- 4.0) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 0))) into (- 1)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- 1)) (+ (* 0 0) (* 0 0))) into (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 4.0)) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- 4.0) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (- 4.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 1) (+ (* (- 4.0) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 0))) into (- 1)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- 1)) (+ (* 0 0) (* 0 0))) into (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (- (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 0) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (+ (* (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* beta (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)) (/ 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) (* 0 (/ 0 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) 0) (+ (* (- (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) 0) (+ (* 0 0) (* 0 (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (/ 1 alpha) 0) (+ (* 0 (- (+ (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))) (* 2.0 (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha)))) (* 0 (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (pow alpha 3)))) (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha)))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) (sqr alpha))))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 4.0)) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- 4.0) 1)) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (- 4.0)) (* 0 -1)) into (- (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (- (* 4.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ -2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ -2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* -1 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 alpha) (* (/ 1 (sqr (/ 1 beta))) 1))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- 2.0 (/ 1 alpha)) (- 2.0 (/ 1 alpha))) into (sqr (- 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (- 2.0 (/ 1 alpha)))) into (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- (* 4.0 (/ 1 alpha)) (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (- 2.0 (/ 1 alpha))) into (- (/ 1 alpha) 2.0)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0)) into (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0)
* [misc]backup-simplify:  Simplify (- (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) into (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) into (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (/ 1 beta) (/ 1 alpha)) (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 alpha)) (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) 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 (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 alpha) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) 4.0) into (+ (/ 1 (sqr alpha)) 4.0)
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) 4.0)) into (- (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (- (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) into (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [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 (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 alpha)) into (/ 4.0 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 alpha) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) 4.0) into (+ (/ 1 (sqr alpha)) 4.0)
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (sqr alpha)) 4.0)) into (- (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (- (+ (/ 1 (sqr alpha)) 4.0))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (* 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) into (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) into (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- 2.0) into (- 2.0)
* [misc]backup-simplify:  Simplify (+ (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) (- 2.0)) into (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0)
* [misc]backup-simplify:  Simplify (- (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) into (- (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) into (- (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]backup-simplify:  Simplify (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) into (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]backup-simplify:  Simplify (* 1 (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) into (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* -1 (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (* 0 (- 2.0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) 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 (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (* 0 (- 2.0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) 0) (* 0 (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) 0) (* 0 (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) 0) into (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) (* 0 (- (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) alpha)) (/ 1 (* (sqr alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) (* 2.0 (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) alpha)) (/ 1 (* (sqr alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) (* 2.0 (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) (* (/ 1 alpha) (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (- 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (- 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) 0) (+ (* 0 0) (* 0 (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) 0) (+ (* 0 0) (* 0 (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) 0) (+ (* 0 (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) (* 0 (- (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (/ 1 alpha) (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) alpha)) (/ 1 (* (sqr alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) (* 2.0 (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) (* 0 (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) into (- (+ (/ 1 (* (pow alpha 3) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (sqr alpha)))) (* 2.0 (/ 1 (* (sqr alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (* (pow alpha 3) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (sqr alpha)))) (* 2.0 (/ 1 (* (sqr alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) (+ (* 0 0) (* 0 (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into (- (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 0 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- 4.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 4.0 0) (* (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (- (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 0 (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr alpha)) 4.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 4.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 4.0) into 4.0
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (- 4.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 0) (* (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0) 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* -1 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2.0 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (+ (* (/ -1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 1 (* beta (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (/ 0 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) (* 0 (/ 0 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (* 0 (/ 0 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) 0) (+ (* 0 0) (+ (* 0 (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) (* 0 (- (/ 1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (/ 1 alpha) 0) (+ (* 0 (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) alpha)) (/ 1 (* (sqr alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) (* 2.0 (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))))) (* 0 (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 (* (pow alpha 3) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 2.0 (/ 1 (* (sqr alpha) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) (+ (* 0 0) (* 0 (* -1 (/ (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (* (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4.0 0) into 4.0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (* 4.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (- (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* -1 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ -2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (- alpha)) (* (/ 1 (sqr (/ 1 (- beta)))) 1))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * [misc]progress:  tayloring alt 5 of 12
* [misc]approximate:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 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 (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of 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 (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta 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 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))) into (* -1 (/ (* alpha (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (* alpha (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))) (+ 2.0 (+ (fma i 2 beta) alpha)))) 1.0) into (- 1.0 (/ (* (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (* (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) alpha) (+ 2.0 (+ (fma i 2 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 (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 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 (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) 1) (* 0 0)) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))) into (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))))) into (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (+ (fma i 2 beta) alpha))) 0) into (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))) into (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))) into (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))) into (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta)))) into (- (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))))) into (- (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (- (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))) into (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta)))) into (- (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta)))) into (- (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta)))) (* 1 (* alpha 1))) (+ (* (/ (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) (+ 2.0 (fma i 2 beta))) (* 1 (* 1 beta))) 1.0)) into (- (+ (/ (* (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) beta) (+ 2.0 (fma i 2 beta))) 1.0) (/ (* (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) alpha) (+ 2.0 (fma i 2 beta))))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) into (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (- (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) 1.0) into (- 1.0 (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (- 1.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (- 1.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- 1.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- 1.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) 0) (* 0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))))) into (+ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (* 2.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) (* 1 (* (/ 1 alpha) 1))) (+ (* (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* (/ 1 alpha) (/ 1 (/ 1 beta))))) (- 1.0 (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (* 2.0 (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) alpha)) (+ 1.0 (+ (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) alpha) (/ (* beta (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) alpha)))) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) 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 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (* -1 (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) into (- (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) -1) into (* -1 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 1.0) into (+ (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 1.0)
* [misc]taylor:  Taking taylor expansion of (+ (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- 1)
* [misc]backup-simplify:  Simplify (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (- 1)) into (* -1 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 1.0) into (- 1.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- 1.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- 1.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- 1.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (* -1 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 0) (* 0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 1) (* 0 0))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- 1)) (+ (* (* -1 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta))))) 0) into (- (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta))) into (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta))))) into (- (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta))))) into (- (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta))))) (* 1 (* (/ 1 (- alpha)) 1))) (+ (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 1 (* (/ 1 (- alpha)) (/ 1 (/ 1 (- beta)))))) (- 1.0 (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into (- (+ (/ (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta))) alpha) (+ 1.0 (+ (/ (* beta (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) alpha) (* 2.0 (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) alpha))))) (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]approximate:  Taking taylor expansion of (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 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 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 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 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 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 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (cbrt (+ alpha beta)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ alpha beta)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ alpha beta)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ alpha beta)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ beta alpha)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ beta alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ beta alpha))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (cbrt (+ beta alpha)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ beta alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ beta alpha))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 i (+ beta alpha)))) (+ (* (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) (/ 0 (cbrt (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 i (+ beta alpha)))) (+ (* (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) (/ 0 (cbrt (fma 2 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 (- (/ 0 (cbrt (fma 2 i (+ beta alpha)))) (+ (* (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) (/ 0 (cbrt (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 i (+ beta alpha)))) (+ (* (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) (/ 0 (cbrt (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (cbrt (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in 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 (cbrt (fma 2 i (+ beta alpha)))) (+ (* (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) (/ 0 (cbrt (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (cbrt (fma 2 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 (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 alpha) (/ 1 beta))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 alpha) (/ 1 beta))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 alpha) (/ 1 beta))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 alpha) (/ 1 beta))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (/ 1 alpha))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (/ 1 alpha))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (- (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in 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 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in 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 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (+ alpha beta)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ alpha beta)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ alpha beta)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ alpha beta)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ beta alpha)) into (cbrt (+ beta alpha))
* [misc]backup-simplify:  Simplify (cbrt (+ beta alpha)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (+ beta alpha)) into (cbrt (+ beta alpha))
* [misc]approximate:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 alpha) (/ 1 beta))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 alpha) (/ 1 beta))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 alpha) (/ 1 beta))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (/ 1 alpha))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (/ 1 alpha))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (/ 1 alpha))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]approximate:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* * * [misc]progress:  tayloring alt 6 of 12
* [misc]approximate:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (fma i 2 beta)) 1) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) into (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) into (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) into (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta 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 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ alpha (fma 2 i (+ beta alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) 1.0) into (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ 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 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) into (- (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) into (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ 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 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 1 (fma 2 i (+ beta alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))) (* 0 (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 1 (fma 2 i (+ beta alpha)))) (* 0 (/ alpha (fma 2 i (+ beta alpha)))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) 0) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) (sqr (* alpha (* 1 1)))) (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))) 1.0)) into (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (/ 1 alpha)) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (/ 1 alpha)) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (/ 1 alpha)) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 alpha)) (+ (* (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) 1.0) into (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 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 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 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 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 alpha)) (+ (* (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) 0) (+ (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 alpha) (* 1 (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (/ -1 alpha)) into (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (/ -1 alpha)) into (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (/ -1 alpha)) into (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 0) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) 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 0) 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 (/ -1 alpha)) (+ (* (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 1.0) into (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 alpha)) (+ (* (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (/ -1 alpha))) (* 0 (/ 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* 0 (/ 0 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 0) (+ (* 0 (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (- alpha)) (* 1 (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (fma i 2 beta)) 1) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) into (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) into (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) into (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))) (* 0 (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]backup-simplify:  Simplify (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) into (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) (pow (* alpha (* 1 1)) 3)) (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (sqr (* alpha (* 1 1)))) (* (/ 1 (+ 2.0 (fma i 2 beta))) (* alpha (* 1 1))))) into (- (+ (/ alpha (+ 2.0 (fma i 2 beta))) (/ (pow alpha 3) (pow (+ 2.0 (fma i 2 beta)) 3))) (/ (sqr alpha) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (/ 1 alpha)) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (/ 1 alpha)) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (/ 1 alpha)) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 alpha)) (+ (* (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) into (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 alpha)) (+ (* (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) (sqr (* (/ 1 alpha) (* 1 1)))) (+ (* (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* (/ 1 alpha) (* 1 1))) 1)) into (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha)))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (* 2.0 (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (/ -1 alpha)) into (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (/ -1 alpha)) into (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (/ -1 alpha)) into (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)
* [misc]backup-simplify:  Simplify (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- 1)
* [misc]backup-simplify:  Simplify (/ -1 (- 1)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) 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 (/ -1 alpha)) (+ (* (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 1) (* 0 0))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- 1)) (+ (* 1 (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 alpha)) (+ (* (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (/ -1 alpha))) (* 0 (/ 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* 0 (/ 0 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- 1)) (+ (* 1 (/ 0 (- 1))) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (sqr (* (/ 1 (- alpha)) (* 1 1)))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (* (/ 1 (- alpha)) (* 1 1))) 1)) into (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))
* [misc]approximate:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (fma i 2 beta)) 1) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) into (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) into (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) into (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha)) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ alpha (fma 2 i (+ beta alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 1 (fma 2 i (+ beta alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))) (* 0 (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 1 (fma 2 i (+ beta alpha)))) (* 0 (/ alpha (fma 2 i (+ beta alpha)))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))) (* 0 (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))) (* 0 (/ 0 (/ (+ 2.0 (+ (fma i 2 beta) alpha)) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) (+ (* 0 (/ 1 (fma 2 i (+ beta alpha)))) (* 0 (/ alpha (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ (fma 2 i (+ beta alpha)) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* alpha (* 1 (sqr beta)))) (+ (* (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* alpha (* 1 1)))) (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))))) into (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (/ 1 alpha)) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (/ 1 alpha)) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (/ 1 alpha)) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 alpha)) (+ (* (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 alpha)) (+ (* (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) 0) (+ (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 alpha) (* 1 (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (/ -1 alpha)) into (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (/ -1 alpha)) into (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (/ -1 alpha)) into (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) 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 0) 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 (/ -1 alpha)) (+ (* (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 alpha)) (+ (* (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (/ -1 alpha))) (* 0 (/ 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* 0 (/ 0 (* -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) 0) (+ (* 0 (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (- alpha)) (* 1 (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ beta (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 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 (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 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 (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ beta (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma 2 i (+ beta alpha))) (* 1 (* beta 1))) (* (/ 1 (fma 2 i (+ beta alpha))) (* 1 (* 1 alpha)))) into (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 beta) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* 1 (/ 1 (/ 1 alpha))))) (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 (/ 1 beta)) 1)))) into (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 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 (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* 1 (/ 1 (/ 1 (- alpha)))))) (* (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* (/ 1 (/ 1 (- beta))) 1)))) into (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * [misc]progress:  tayloring alt 7 of 12
* [misc]approximate:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))))) into (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))))
* [misc]backup-simplify:  Simplify (* (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) (/ alpha (fma 2 i (+ beta alpha)))) into (* -1 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha)))) 1.0) into (- 1.0 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ 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 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) into (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha)
* [misc]backup-simplify:  Simplify (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) into (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha)))) into (- (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))))) into (- 1.0 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ 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 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) 1) (* 0 0)) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))) into (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) (/ 1 (fma 2 i (+ beta alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (fma 2 i (+ beta alpha))))) into (- (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (- (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) 0) into (- (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))) into (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) into (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))) into (- (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))) into (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) into (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))) into (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) into (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) into (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))) into (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) into (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) (* alpha (* 1 1))) (+ (* (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) (* 1 (* 1 beta))) 1.0)) into (- 1.0 (+ (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) (/ (* beta (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (- (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into (- (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* (- (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 0) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 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]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) 1.0) into (- 1.0 (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 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 (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) into (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))) into (- 1.0 (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 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 (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 alpha) (* 1 (/ 1 (sqr (/ 1 beta)))))) (+ (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* 1 (/ 1 (/ 1 beta))))) (* (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* beta (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (* (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 0) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) into (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))) into (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 0) into (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (- alpha)) (* 1 (/ 1 (sqr (/ 1 (- beta))))))) (+ (* (- (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* 1 (/ 1 (/ 1 (- beta)))))) (* (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (+ (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (/ (* (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (* beta (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) into (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) into (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) into (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) into (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) into (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]approximate:  Taking taylor expansion of (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) into (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]approximate:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))))) into (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))))
* [misc]backup-simplify:  Simplify (* (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) (/ alpha (fma 2 i (+ beta alpha)))) into (* -1 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) into (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha)
* [misc]backup-simplify:  Simplify (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) into (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (* -1 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha)))) into (* -1 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) 1) (* 0 0)) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))) into (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) (/ 1 (fma 2 i (+ beta alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (fma 2 i (+ beta alpha))))) into (- (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))) into (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) into (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))) into (- (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) into (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))) into (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) into (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))) into (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) into (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) into (* -1 (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (* -1 (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) into (* -1 (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 1 (fma 2 i (+ beta alpha)))) (* 0 (/ alpha (fma 2 i (+ beta alpha)))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))) (+ (* (* -1 (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) (* alpha (* 1 1))) (* (- (/ (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) (fma 2 i (+ beta alpha)))) (* 1 (* 1 beta))))) into (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) (/ (* beta (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (- (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into (- (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* (- (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) into (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 alpha) (* 1 (/ 1 (sqr (/ 1 beta)))))) (+ (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* 1 (/ 1 (/ 1 beta))))) (* (- (/ (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* beta (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (* alpha (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) into (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))) into (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (- (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) in i
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) in alpha
* [misc]backup-simplify:  Simplify (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) into (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (- alpha)) (* 1 (/ 1 (sqr (/ 1 (- beta))))))) (+ (* (- (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* 1 (/ 1 (/ 1 (- beta)))))) (* (/ (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (+ (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (/ (* (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (* beta (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ 2.0 (fma i 2 beta)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (log (+ 2.0 (fma i 2 beta))) into (log (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (+ 2.0 (fma i 2 beta)))) into (* 3 (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ 2.0 (fma i 2 beta))))) into (pow (+ 2.0 (fma i 2 beta)) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) into (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ 2.0 (fma i 2 beta)) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ 2.0 (fma i 2 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 2.0 (fma i 2 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ 2.0 (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (log (+ 2.0 (fma i 2 beta))) into (log (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (+ 2.0 (fma i 2 beta)))) into (* 3 (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ 2.0 (fma i 2 beta))))) into (pow (+ 2.0 (fma i 2 beta)) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) into (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]backup-simplify:  Simplify (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) into (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)) (pow (* 1 (* 1 alpha)) 3)) (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (sqr (* 1 (* 1 alpha)))) (* (/ 1 (+ 2.0 (fma i 2 beta))) (* 1 (* 1 alpha))))) into (- (+ (/ alpha (+ 2.0 (fma i 2 beta))) (/ (pow alpha 3) (pow (+ 2.0 (fma i 2 beta)) 3))) (/ (sqr alpha) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)))) into (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) into (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) into (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0))
* [misc]backup-simplify:  Simplify (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) into (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (/ (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) into (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) into (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) into (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) into (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))) into (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))) into (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)) into (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))) (sqr (* 1 (* 1 (/ 1 alpha))))) (+ (* (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 1 (* 1 (/ 1 alpha)))) 1)) into (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha)))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (* 2.0 (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) 2.0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) -1)))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) -1)))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) into (* 4.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) into (* 4.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (sqr (* 1 (* 1 (/ 1 (- alpha)))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (* 1 (* 1 (/ 1 (- alpha))))) 1)) into (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))
* * * [misc]progress:  tayloring alt 8 of 12
* [misc]approximate:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) 1) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) 1) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) into (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) into (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) into (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) into (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) into (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) into (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) 1) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) 1) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) into (* 4.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [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 alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 (* (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (sqr (* (/ 1 alpha) (* 1 1))))) into (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) 1) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) 1) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 (sqr alpha))) into (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (/ 1 (sqr alpha))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 (sqr alpha))) into (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (/ 1 (sqr alpha))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 (sqr alpha))) into (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (/ 1 (sqr alpha))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) into (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))) into (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))) into (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (* -1 i) 2 (* -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) into (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) into (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))) into (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))) into (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (* -1 i) 2 (* -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) 2 (* -1 beta))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (* 0 (sqr (fma (* -1 i) 2 (* -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) 1) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) 1) into (sqr (fma i 2 beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (/ 1 (sqr alpha))) into (* (fma i 2 beta) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (/ 1 (sqr alpha))) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (/ 1 (sqr alpha))) into (* (fma i 2 beta) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (/ 1 (sqr alpha))) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (/ 1 (sqr alpha))) into (* (fma i 2 beta) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (/ 1 (sqr alpha))) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]backup-simplify:  Simplify (* 4.0 (* (fma i 2 beta) (sqr alpha))) into (* 4.0 (* (fma i 2 beta) (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 1 (* (sqr (fma i 2 beta)) (sqr alpha))) into (+ (* (sqr (fma i 2 beta)) (sqr alpha)) 1)
* [misc]backup-simplify:  Simplify (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) (+ (* (sqr (fma i 2 beta)) (sqr alpha)) 1)) into (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) 1))
* [misc]taylor:  Taking taylor expansion of (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) 1)) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 beta)) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) 1) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (fma i 2 beta) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 beta) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 beta)) (sqr alpha)) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (sqr alpha)) into (* (fma i 2 beta) (sqr alpha))
* [misc]backup-simplify:  Simplify (* 4.0 (* (fma i 2 beta) (sqr alpha))) into (* 4.0 (* (fma i 2 beta) (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) 1) into (+ 1 (* 4.0 (* (fma i 2 beta) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (* 4.0 (* (fma i 2 beta) (sqr alpha))))) into (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (* 4.0 (* (fma i 2 beta) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (* 4.0 (* (fma i 2 beta) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 beta)) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 4.0 (* (fma i 2 beta) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (fma i 2 beta) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 beta) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 beta)) 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) 0) into 0
* [misc]backup-simplify:  Simplify (* 4.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (fma i 2 beta) (sqr alpha)) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (* (fma i 2 beta) (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr (fma i 2 beta)) (sqr alpha)) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 0) (* 0 (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (* (fma i 2 beta) (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (fma i 2 beta) (sqr alpha)) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (* (fma i 2 beta) (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr (fma i 2 beta)) (sqr alpha)) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 0) (+ (* 0 0) (* 0 (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (* (fma i 2 beta) (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) 1) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) 1) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (sqr (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [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 alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr (* (/ 1 alpha) (* 1 1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]approximate:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) 1) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (/ 1 (sqr alpha))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (/ 1 (sqr alpha))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (/ 1 (sqr alpha))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (* -1 i) 2 (* -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (* -1 i) 2 (* -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma (* -1 i) 2 (* -1 beta)))))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (sqr (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr (fma (* -1 i) 2 (* -1 beta))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (* 0 (sqr (fma (* -1 i) 2 (* -1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqr (fma (* -1 i) 2 (* -1 beta))) (sqr (* (/ 1 alpha) (* 1 1)))) into (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (sqr alpha))
* [misc]approximate:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) 1) into (sqr (fma i 2 beta))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (/ 1 (sqr alpha))) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (/ 1 (sqr alpha))) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (/ 1 (sqr alpha))) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 beta)) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 beta)) (sqr alpha)) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 beta)) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 1) (+ (* 0 0) (* 0 0))) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (sqr (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr (fma i 2 beta)) (sqr alpha)) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 0) (* 0 (sqr alpha))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr (fma i 2 beta)) (sqr alpha)) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 0) (+ (* 0 0) (* 0 (sqr alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 beta)) (sqr (* (/ 1 (- alpha)) (* 1 1)))) into (/ (sqr (fma i 2 beta)) (sqr alpha))
* [misc]approximate:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) into (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) into (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) 1) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) 1) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 beta)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) 1) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) 1) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) 1) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 beta)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) 1) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) into (* 4.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) 0) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) into (* 4.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) into (* 4.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (* 1 (* 1 (/ 1 alpha)))) (* (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (sqr (* 1 (* 1 (/ 1 alpha))))))) into (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))
* [misc]approximate:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr alpha))) into (sqr alpha)
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 (sqr alpha))) into (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (/ 1 (sqr alpha))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 alpha)) into (* alpha (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr alpha))) into (sqr alpha)
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 (sqr alpha))) into (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (/ 1 (sqr alpha))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -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]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 alpha)) into (* alpha (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) 1) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) 1) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) 1) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) 1) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) 1) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) 1) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [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 beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (* -1 i) 2 (* -1 beta))) into (+ 2.0 (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta)))) into (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta))))) into (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (* -1 i) 2 (* -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (* -1 i) 2 (* -1 beta))) into (+ 2.0 (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta)))) into (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (* -1 i) 2 (* -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (* -1 i) 2 (* -1 beta))) into (+ 2.0 (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta)))) into (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta)))) into (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (* 4.0 (fma (* -1 i) 2 (* -1 beta))) into (* 4.0 (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (* -1 i) 2 (* -1 beta)))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (* -1 i) 2 (* -1 beta))) (sqr (fma (* -1 i) 2 (* -1 beta)))) into (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta))))) into (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (* -1 i) 2 (* -1 beta)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta))))) 0) into (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (* -1 i) 2 (* -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (* -1 i) 2 (* -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (fma (* -1 i) 2 (* -1 beta))) into (* 4.0 (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta)))) into (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta))))) into (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (* -1 i) 2 (* -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma (* -1 i) 2 (* -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (fma (* -1 i) 2 (* -1 beta))) into (* 4.0 (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta)))) into (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta))))) into (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta)))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta))))) into (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (+ 4.0 (+ (sqr (fma (* -1 i) 2 (* -1 beta))) (* 4.0 (fma (* -1 i) 2 (* -1 beta))))) (sqr (* 1 (* 1 (/ 1 alpha))))) (+ (* (- (+ 2.0 (fma (* -1 i) 2 (* -1 beta)))) (* 1 (* 1 (/ 1 alpha)))) 1)) into (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (sqr alpha)) (+ 1 (* 4.0 (/ (fma (* -1 i) 2 (* -1 beta)) (sqr alpha)))))) (+ (/ (fma (* -1 i) 2 (* -1 beta)) alpha) (* 2.0 (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr alpha))) into (sqr alpha)
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (/ 1 (sqr alpha))) into (* (fma i 2 beta) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (/ 1 (sqr alpha))) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ -1 alpha)) into (* -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (/ -1 alpha)) into (* -1 (* (fma i 2 beta) alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr alpha))) into (sqr alpha)
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (/ 1 (sqr alpha))) into (* (fma i 2 beta) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (/ 1 (sqr alpha))) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ -1 alpha)) into (* -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 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]backup-simplify:  Simplify (/ (fma i 2 beta) (/ -1 alpha)) into (* -1 (* (fma i 2 beta) alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) 1) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) 1) into (sqr (fma i 2 beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) -1) into (* -1 (fma i 2 beta))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) 1) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) 1) into (sqr (fma i 2 beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) -1) into (* -1 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [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 beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 -1) into -2.0
* [misc]backup-simplify:  Simplify (+ -2.0 (* -1 (fma i 2 beta))) into (- (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- (- (+ 2.0 (fma i 2 beta)))) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 0 (+ 2.0 (fma i 2 beta))) into (+ 2.0 (fma i 2 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (* 4.0 (fma i 2 beta)) into (* 4.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma i 2 beta))) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma i 2 beta)) (sqr (fma i 2 beta))) into (+ (sqr (fma i 2 beta)) (* 4.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (sqr (fma i 2 beta)) (* 4.0 (fma i 2 beta)))) into (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (fma i 2 beta)) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta)))) 0) into (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 (fma i 2 beta)) into (* 4.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 4.0 (* 4.0 (fma i 2 beta))) into (+ 4.0 (* 4.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta)))) into (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 4.0 (* 4.0 (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (* 4.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 4.0 (fma i 2 beta)) into (* 4.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (+ 4.0 (* 4.0 (fma i 2 beta))) into (+ 4.0 (* 4.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta)))) into (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta)))) into (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ (* (+ (sqr (fma i 2 beta)) (+ 4.0 (* 4.0 (fma i 2 beta)))) (sqr (* 1 (* 1 (/ 1 (- alpha)))))) (+ (* (+ 2.0 (fma i 2 beta)) (* 1 (* 1 (/ 1 (- alpha))))) 1)) into (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma i 2 beta) (sqr alpha))) (+ 1 (/ (sqr (fma i 2 beta)) (sqr alpha))))) (+ (/ (fma i 2 beta) alpha) (* 2.0 (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) 1) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) 1) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 beta)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) 1) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (fma 2 i (+ beta alpha))) into (/ beta (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 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 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ beta (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) into (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (fma 2 i (+ beta alpha))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) into (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) into (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (sqr alpha))) into (/ 4.0 (sqr alpha))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) into (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) into (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) into (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (sqr alpha)) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) into (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 alpha)) into (/ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 2.0 alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha)))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))))) into (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))
* [misc]backup-simplify:  Simplify (- (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) into (- (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) (/ alpha (fma 2 i (+ beta alpha)))) into (/ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) alpha) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) alpha) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) into (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ 1 (sqr alpha)) into (/ 1 (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 alpha)) into (/ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha)) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (sqr alpha))) into (/ 4.0 (sqr alpha))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) into (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) into (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) into (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 4.0 (sqr alpha)) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) into (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) into (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) alpha) into (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) alpha)
* [misc]backup-simplify:  Simplify (/ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) alpha) (fma 2 i (+ beta alpha))) into (/ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) alpha) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) 1) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) 1) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) 1) into (sqr (fma (/ -1 i) 2 (/ -1 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 4.0 1) into 4.0
* [misc]backup-simplify:  Simplify (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) into (* 4.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ 0 (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) into (- (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))) into (- (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))
* [misc]backup-simplify:  Simplify (* (- (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) 2.0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 beta))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) 1) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))
* [misc]backup-simplify:  Simplify (/ (- (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (fma 2 i (+ beta alpha))) into (* -1 (/ (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) 0) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) (/ 1 (fma 2 i (+ beta alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ alpha (fma 2 i (+ beta alpha))))) into (- (+ (* 2.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) (+ (/ 1 (fma 2 i (+ beta alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) (+ (/ 1 (fma 2 i (+ beta alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha (fma 2 i (+ beta alpha))) into (* alpha (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (fma 2 i (+ beta alpha)))) into (/ 1 (* alpha (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha (fma 2 i (+ beta alpha))) into (* alpha (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (fma 2 i (+ beta alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma 2 i (+ beta alpha))) into (* (sqr alpha) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha)))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma 2 i (+ beta alpha))) into (* (sqr alpha) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma 2 i (+ beta alpha))) into (* (sqr alpha) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha)))) into (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) into (/ 2.0 (* alpha (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (* alpha (fma 2 i (+ beta alpha)))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) into (+ (* 2.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) into (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))) into (/ 4.0 (* (sqr alpha) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (/ 4.0 (* (sqr alpha) (fma 2 i (+ beta alpha))))) into (+ (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))))) into (+ (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 i (+ beta alpha))) (+ (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha))))))) into (+ (/ 1 (fma 2 i (+ beta alpha))) (+ (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (fma 2 i (+ beta alpha))) (+ (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))))))) into (- (+ (/ 1 (fma 2 i (+ beta alpha))) (+ (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) (- (+ (/ 1 (fma 2 i (+ beta alpha))) (+ (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha))))))))) into (- (+ (* 2.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) (+ (/ 1 (fma 2 i (+ beta alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) (+ (/ 1 (fma 2 i (+ beta alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 i (+ beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 i (+ beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (fma 2 i (+ beta alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 i (+ beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 i (+ beta alpha))))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 i (+ beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 i (+ beta alpha))))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 i (+ beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 i (+ beta alpha))))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) into (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) into (/ 4.0 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha))) (/ 4.0 (fma 2 i (+ beta alpha)))) into (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha))))) into (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha)))))) into (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha)))))) into (- (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha))))))) into (- (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha)))))) into (- (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) alpha) (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 (/ (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (fma 2 i (+ beta alpha)))) into (* -1 (/ (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) 0) (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 1 (fma 2 i (+ beta alpha)))) (* 0 (/ alpha (fma 2 i (+ beta alpha)))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (fma 2 i (+ beta alpha)))) (/ 0 (* alpha (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (* alpha (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* alpha (fma 2 i (+ beta alpha)))) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha)))) (/ 0 (* alpha (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr alpha) (fma 2 i (+ beta alpha)))) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (/ 0 (* (sqr alpha) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* (sqr alpha) (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr alpha) (fma 2 i (+ beta alpha)))) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (/ 0 (* (sqr alpha) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha)))) (/ 0 (* (sqr alpha) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 (* (sqr alpha) (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (/ 0 (sqr alpha))) (* 0 (/ 0 (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (* 2.0 (/ 1 alpha))) (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)))))) alpha) (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* 0 (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 i (+ beta alpha)))) into (/ 2.0 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha))) 0) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 i (+ beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) into (+ (* 2.0 (/ 1 (fma 2 i (+ beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ 1 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 i (+ beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) 0) into (+ (* 2.0 (/ 1 (fma 2 i (+ beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 i (+ beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) into (+ (* 2.0 (/ 1 (fma 2 i (+ beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 2.0 (/ 1 (fma 2 i (+ beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (* (/ 1 alpha) (* 1 beta))) (+ (* (* -1 (/ (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (fma 2 i (+ beta alpha)))) (* (/ 1 alpha) (* 1 1))) (* (- (+ (* 4.0 (/ 1 (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ beta alpha)))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 i (+ beta alpha)))))) (* (/ 1 (sqr alpha)) (* 1 beta))))) into (- (+ (/ (* beta (fma (/ -1 i) 2 (/ -1 beta))) (* alpha (fma 2 i (+ beta alpha)))) (* 2.0 (/ beta (* alpha (fma 2 i (+ beta alpha)))))) (+ (* 4.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (* beta (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (* beta (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* alpha (fma 2 i (+ beta alpha)))) (* 4.0 (/ beta (* (sqr alpha) (fma 2 i (+ beta alpha)))))))))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) 1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) 1) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) 1) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) 1) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 beta) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr alpha))) into (sqr alpha)
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 (sqr alpha))) into (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (/ 1 (sqr alpha))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -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]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 alpha)) into (* alpha (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr alpha))) into (sqr alpha)
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 (sqr alpha))) into (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (/ 1 (sqr alpha))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 alpha)) into (* alpha (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 beta) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 alpha)))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr alpha))) into (sqr alpha)
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 (sqr alpha))) into (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) (sqr (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (/ 1 (sqr alpha))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 alpha))) (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 i)) 2 (/ -1 (/ 1 beta))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (/ 1 alpha)) into (* alpha (fma (* -1 i) 2 (* -1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (sqr alpha)) into (* 4.0 (sqr alpha))
* [misc]backup-simplify:  Simplify (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) into (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))) into (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))) into (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (sqr alpha)) (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))))) into (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (+ (* 4.0 (sqr alpha)) (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))))
* [misc]backup-simplify:  Simplify (* 2.0 alpha) into (* 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (* 2.0 alpha) (* alpha (fma (* -1 i) 2 (* -1 beta)))) into (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha))) into (- (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (+ (* 4.0 (sqr alpha)) (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))))) (- (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha)))) into (- (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (+ (* 4.0 (sqr alpha)) (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))))) (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha)))
* [misc]backup-simplify:  Simplify (- (- (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (+ (* 4.0 (sqr alpha)) (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))))) (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha)))) into (- (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha)) (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (+ (* 4.0 (sqr alpha)) (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha)) (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (+ (* 4.0 (sqr alpha)) (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))))))) into (- (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha)) (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (+ (* 4.0 (sqr alpha)) (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* (- (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha)) (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (+ (* 4.0 (sqr alpha)) (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))))) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (+ (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (* -1 i) 2 (* -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha (fma (* -1 i) 2 (* -1 beta))) into (* alpha (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) into (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (* -1 i) 2 (* -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) into (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (- (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))))) into (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (* -1 i) 2 (* -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) 2 (* -1 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (* -1 i) 2 (* -1 beta)))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) 2 (* -1 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma (* -1 i) 2 (* -1 beta))))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (* -1 i) 2 (* -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr (fma (* -1 i) 2 (* -1 beta)))))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr alpha) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 alpha)) (+ (* (* alpha (fma (* -1 i) 2 (* -1 beta))) (/ 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha)) (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (+ (* 4.0 (sqr alpha)) (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (* -1 i) 2 (* -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) into (* alpha (sqr (fma (* -1 i) 2 (* -1 beta))))
* [misc]backup-simplify:  Simplify (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (* -1 i) 2 (* -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* alpha (fma (* -1 i) 2 (* -1 beta))) into (* alpha (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (* -1 i) 2 (* -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) 2 (* -1 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (* -1 i) 2 (* -1 beta)))) into (fma (* -1 i) 2 (* -1 beta))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (* -1 i) 2 (* -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) 2 (* -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) 2 (* -1 beta)) into (fma (* -1 i) 2 (* -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) 2 (* -1 beta)) (fma (* -1 i) 2 (* -1 beta))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (* 0 (sqr (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr (fma (* -1 i) 2 (* -1 beta))))) into (sqr (fma (* -1 i) 2 (* -1 beta)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (* 0 (sqr (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* 0 (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr alpha) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 alpha)) (+ (* (* alpha (fma (* -1 i) 2 (* -1 beta))) (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 0) (+ (* (- (+ (* alpha (fma (* -1 i) 2 (* -1 beta))) (* 2.0 alpha)) (+ (* 4.0 (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta)))) (+ 1 (+ (* 4.0 (sqr alpha)) (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))))))) 0) (+ (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (sqr (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (* alpha (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (fma (* -1 i) 2 (* -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (* alpha (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ (* (sqr alpha) (fma (* -1 i) 2 (* -1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) 2 (* -1 beta)) 0) (+ (* 0 0) (* 0 (fma (* -1 i) 2 (* -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr alpha) 0) (+ (* 0 0) (* 0 (sqr (fma (* -1 i) 2 (* -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (* (sqr alpha) (sqr (fma (* -1 i) 2 (* -1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ (sqr alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 0) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 alpha) (* 1 (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 alpha)) (* 1 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) -1) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) 1) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) 1) into (sqr (fma i 2 beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) -1) into (* -1 (fma i 2 beta))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ -1 beta) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) beta))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr alpha))) into (sqr alpha)
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (/ 1 (sqr alpha))) into (* (fma i 2 beta) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (/ 1 (sqr alpha))) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ -1 alpha)) into (* -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 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]backup-simplify:  Simplify (/ (fma i 2 beta) (/ -1 alpha)) into (* -1 (* (fma i 2 beta) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr alpha))) into (sqr alpha)
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (/ 1 (sqr alpha))) into (* (fma i 2 beta) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (/ 1 (sqr alpha))) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ -1 alpha)) into (* -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (/ -1 alpha)) into (* -1 (* (fma i 2 beta) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- beta)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (sqr (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr alpha))) into (sqr alpha)
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (/ 1 (sqr alpha))) into (* (fma i 2 beta) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) (sqr (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (/ 1 (sqr alpha))) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (/ 1 (- alpha)))) (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ -1 alpha)) into (* -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 (/ 1 (- i))) 2 (/ -1 (/ 1 (- beta)))) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (/ -1 alpha)) into (* -1 (* (fma i 2 beta) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) into (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (sqr alpha)) into (* 4.0 (sqr alpha))
* [misc]backup-simplify:  Simplify (* 4.0 (* (fma i 2 beta) (sqr alpha))) into (* 4.0 (* (fma i 2 beta) (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 1 (* (sqr (fma i 2 beta)) (sqr alpha))) into (+ (* (sqr (fma i 2 beta)) (sqr alpha)) 1)
* [misc]backup-simplify:  Simplify (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) (+ (* (sqr (fma i 2 beta)) (sqr alpha)) 1)) into (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) 1))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (sqr alpha)) (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) 1))) into (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (+ (* 4.0 (sqr alpha)) (* 4.0 (* (fma i 2 beta) (sqr alpha))))))
* [misc]backup-simplify:  Simplify (* 2.0 (* -1 alpha)) into (* -2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (* -2.0 alpha) (* -1 (* (fma i 2 beta) alpha))) into (- (+ (* 2.0 alpha) (* (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 alpha) (* (fma i 2 beta) alpha)))) into (+ (* 2.0 alpha) (* (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (+ (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (+ (* 4.0 (sqr alpha)) (* 4.0 (* (fma i 2 beta) (sqr alpha)))))) (+ (* 2.0 alpha) (* (fma i 2 beta) alpha))) into (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) (+ (* 4.0 (sqr alpha)) (+ (* 2.0 alpha) (* (fma i 2 beta) alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) (+ (* 4.0 (sqr alpha)) (+ (* 2.0 alpha) (* (fma i 2 beta) alpha))))))) into (- (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) (+ (* 2.0 alpha) (+ (* 4.0 (sqr alpha)) (* (fma i 2 beta) alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) (+ (* 2.0 alpha) (+ (* 4.0 (sqr alpha)) (* (fma i 2 beta) alpha)))))))) into (- (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) (+ (* 2.0 alpha) (+ (* (fma i 2 beta) alpha) (* 4.0 (sqr alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* (- (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) (+ (* 2.0 alpha) (+ (* (fma i 2 beta) alpha) (* 4.0 (sqr alpha)))))))) (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 4.0 (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 beta) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (sqr alpha)) into (* (fma i 2 beta) (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 beta)) (sqr alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 beta)) (sqr alpha)) into (* (sqr (fma i 2 beta)) (sqr alpha))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) alpha) into (* (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* 4.0 (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into (+ (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))))) into (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into (+ (* 4.0 (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 beta) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 1) (+ (* 0 0) (* 0 0))) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 beta)) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 beta)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 1) (+ (* 0 0) (* 0 0))) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (sqr (fma i 2 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 1) (* 0 0)) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) 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 (+ (* (/ -1 alpha) 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr alpha) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (sqr alpha))) 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 (+ (* (/ -1 alpha) 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (fma i 2 beta) (sqr alpha)) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (* (fma i 2 beta) (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr (fma i 2 beta)) (sqr alpha)) (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* -1 alpha) (/ 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (* -1 alpha))) 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 (/ -1 alpha)) (+ (* (* -1 (* (fma i 2 beta) alpha)) (/ 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (- (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) (+ (* 2.0 alpha) (+ (* (fma i 2 beta) alpha) (* 4.0 (sqr alpha)))))))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (* (sqr (fma i 2 beta)) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma i 2 beta)) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma i 2 beta)) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 beta)) alpha) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 beta)) alpha) into (* (sqr (fma i 2 beta)) alpha)
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma i 2 beta)) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (sqr (fma i 2 beta)) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 beta) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) alpha) into (* (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (sqr (fma i 2 beta)) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) into (+ (/ (* (sqr (fma i 2 beta)) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma i 2 beta)) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma i 2 beta)) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 beta)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) (fma i 2 beta)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 beta)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 1) (* 0 0)) into (sqr (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (sqr (fma i 2 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4.0 in alpha
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma i 2 beta) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 1) (* 0 0)) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 0) (* 0 (sqr alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr alpha) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (fma i 2 beta) (sqr alpha)) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (* (fma i 2 beta) (sqr alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr alpha))) (+ (* (* (sqr (fma i 2 beta)) (sqr alpha)) (/ 0 (/ 1 (sqr alpha)))) (* 0 (/ 0 (/ 1 (sqr alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* -1 alpha) (/ 0 (/ -1 alpha))) (* 0 (/ 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 alpha)) (+ (* (* -1 (* (fma i 2 beta) alpha)) (/ 0 (/ -1 alpha))) (* 0 (/ 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* (- (+ (* (sqr (fma i 2 beta)) (sqr alpha)) (+ 1 (+ (* 4.0 (* (fma i 2 beta) (sqr alpha))) (+ (* 2.0 alpha) (+ (* (fma i 2 beta) alpha) (* 4.0 (sqr alpha)))))))) 0) (+ (* 0 (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 (fma i 2 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (* (sqr (fma i 2 beta)) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ (* (fma i 2 beta) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 (fma i 2 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 beta)) 0) (+ (* 0 0) (* 0 (sqr alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (* (sqr (fma i 2 beta)) (sqr alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 beta) 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (* (fma i 2 beta) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) into (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (- alpha)) (* 1 (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1))))) into (- (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * [misc]progress:  tayloring alt 9 of 12
* [misc]approximate:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 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 (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of 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 (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) into (/ (+ beta alpha) (fma 2 i (+ beta 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 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) into (* -1 (/ (* alpha (+ beta alpha)) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (* alpha (+ beta alpha)) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) 1.0) into (- 1.0 (+ (/ (* beta alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (+ (/ (* beta alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ 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 (+ (/ (* beta alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* beta alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))))) into (+ (/ beta (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (/ beta (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) 0) into (+ (/ beta (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ beta (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ 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 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ alpha (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 0) into (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ 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 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 0) into (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) into (- (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ 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 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) (* 1 (* alpha 1))) (+ (* (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (* 1 (* 1 beta))) 1.0)) into (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (* beta alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (+ (/ 1 beta) (/ 1 alpha)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) into (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 0) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) 1.0) into (- 1.0 (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* beta (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) (* 0 0)) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (* 0 0))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* (/ 1 alpha) (/ 1 (/ 1 beta))))) (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))) (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* 1 (/ 1 (/ 1 beta))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ beta (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (/ (* beta (fma (/ 1 i) 2 (/ 1 beta))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) 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 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ (+ (/ 1 beta) (/ 1 alpha)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 0) into (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* -1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* -1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ -1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 0) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) 1.0) into (- 1.0 (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 0 0)) into (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ 1 (- (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ -1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ -1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 0 0))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ -1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (- (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (* 1 (* (/ 1 (- alpha)) (/ 1 (/ 1 (- beta)))))) (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* (- (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* 1 (/ 1 (/ 1 (- beta)))))))) into (- (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0)))) (+ (/ (* beta (fma (/ -1 i) 2 (/ -1 beta))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) into (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) into (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) into (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) into (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) into (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) into (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) into (cbrt (/ (+ beta alpha) (fma 2 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 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))) into (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) into (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 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 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 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 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 beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) into (/ (+ beta alpha) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ beta alpha) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (fma 2 i (+ beta alpha))) into (/ alpha (fma 2 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 i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 i (+ beta alpha))) into (/ 1 (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) 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 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 i (+ beta alpha))) (+ (* (/ alpha (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))) (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 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 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 i (+ beta alpha))) (/ 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma 2 i (+ beta alpha))) (* 1 (* beta 1))) (/ alpha (fma 2 i (+ beta alpha)))) into (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 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 i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))) 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 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 0 (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 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 i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (+ (* alpha 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) 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 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 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 (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of 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 (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ beta (+ 2.0 (fma i 2 beta))) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (/ (- alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) into (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* -1 (/ 1 (+ 2.0 (fma i 2 beta)))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ -1 (+ 2.0 (fma i 2 beta))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ -1 (+ 2.0 (fma i 2 beta))) into (/ -1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha))) (+ (* (* -1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (+ 2.0 (fma i 2 beta)))) into (/ 1 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (* 1 (* alpha beta))) (+ (* (/ -1 (+ 2.0 (fma i 2 beta))) (* 1 (* alpha 1))) (* (/ 1 (+ 2.0 (fma i 2 beta))) (* 1 (* 1 beta))))) into (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (* (- (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (* 1 (* (/ 1 alpha) 1))) (+ (* 1 (* 1 (* (/ 1 alpha) (/ 1 (/ 1 beta))))) -1)) into (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1)
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) 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 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into (- 1)
* [misc]backup-simplify:  Simplify (/ 1 (- 1)) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 1) (* 0 0))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (* 1 (* (/ 1 (- alpha)) 1))) (+ (* 1 (* 1 (* (/ 1 (- alpha)) (/ 1 (/ 1 (- beta)))))) -1)) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1)
* * * [misc]progress:  tayloring alt 10 of 12
* [misc]approximate:  Taking taylor expansion of (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (+ beta alpha)) 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 (+ 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 (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (- beta alpha) (+ beta alpha)) into (* (- beta alpha) (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (- beta alpha) (+ beta alpha)) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ (* (- beta alpha) (+ beta alpha)) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (+ beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]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 (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (+ beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]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 (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (* (- alpha) alpha) into (* -1 (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* -1 (sqr alpha)) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (+ beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]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 (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (* (- alpha) alpha) into (* -1 (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* -1 (sqr alpha)) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 1) (* 1 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (+ (* 1 1) (* 0 alpha))) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ 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 (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (+ (* 1 0) (+ (* 0 1) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ (fma 2 i (+ beta alpha)) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* 1 (* alpha (sqr beta)))) (+ (* (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* alpha 1)))) (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))))) into (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) 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 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 (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 alpha)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 beta) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 beta) (/ 1 alpha))) (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]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 (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]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 (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]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 (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1 alpha)) (* (- (/ 1 alpha)) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 alpha)) (/ 1 alpha)) (* 0 1))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (sqr alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 alpha)) 0) (+ (* 0 (/ 1 alpha)) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 alpha) (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 alpha)) 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) 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 (- 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 (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ -1 alpha)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (- (/ 1 alpha) (/ 1 beta)) (- (+ (/ 1 beta) (/ 1 alpha)))) into (* -1 (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 alpha) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* -1 (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 alpha) (/ 1 beta)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 alpha) (/ 1 beta))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]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 (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]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 (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]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 (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 (+ 0 (/ -1 alpha)) into (- (/ 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (* -1 (- (/ 1 alpha))) (* (/ 1 alpha) -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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (- 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 alpha) (- (/ 1 alpha))) (* 0 -1))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 alpha) 0) (+ (* 0 (- (/ 1 alpha))) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (- alpha)) (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 (- alpha))) 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (+ (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (+ beta alpha)) 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 (+ 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 (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (- beta alpha) (+ beta alpha)) into (* (- beta alpha) (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (- beta alpha) (+ beta alpha)) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (/ (* (- beta alpha) (+ beta alpha)) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (+ beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]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 (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 2.0) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (+ beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]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 (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (* (- alpha) alpha) into (* -1 (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* -1 (sqr alpha)) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (+ beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]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 (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (* (- alpha) alpha) into (* -1 (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* -1 (sqr alpha)) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta 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 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) 1.0) into (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ 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 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 1) (* 1 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (+ (* 1 1) (* 0 alpha))) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) (+ (* (* -1 (/ (sqr alpha) (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))))) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) 0) into (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ 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 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) (sqr (* 1 (* alpha 1)))) (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))) 1.0)) into (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) 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 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 (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 alpha)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 beta) (/ 1 alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 beta) (/ 1 alpha))) (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]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 (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ -1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]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 (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]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 (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1 alpha)) (* (- (/ 1 alpha)) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 alpha)) (/ 1 alpha)) (* 0 1))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (sqr alpha))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) 1.0) into (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 alpha)) 0) (+ (* 0 (/ 1 alpha)) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (* (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 alpha) (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 alpha)) 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) 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 (- 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 (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ -1 alpha)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (- (/ 1 alpha) (/ 1 beta)) (- (+ (/ 1 beta) (/ 1 alpha)))) into (* -1 (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 alpha) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* -1 (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 alpha) (/ 1 beta)))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* -1 (/ (* (+ (/ 1 beta) (/ 1 alpha)) (- (/ 1 alpha) (/ 1 beta))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]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 (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]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 (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]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 (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 0) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 (+ 0 (/ -1 alpha)) into (- (/ 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (* -1 (- (/ 1 alpha))) (* (/ 1 alpha) -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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (- 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 alpha) (- (/ 1 alpha))) (* 0 -1))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 1.0) into (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 alpha) 0) (+ (* 0 (- (/ 1 alpha))) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (- alpha)) (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 (- alpha))) 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) (+ 2.0 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (+ 2.0 alpha) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) (+ 2.0 alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) alpha) into (+ (fma i 2 beta) alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (+ (fma i 2 beta) alpha)) into (+ 2.0 (+ (fma i 2 beta) alpha))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ (fma i 2 beta) alpha)) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma i 2 beta) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 beta) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 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 (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ (fma i 2 beta) 0) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma i 2 beta) alpha)) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (+ (* 1 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 i (+ beta alpha)) (* alpha (* 1 1))) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (+ (* (fma i 2 beta) (fma 2 i (+ beta alpha))) (+ (* alpha (fma 2 i (+ beta alpha))) (* 2.0 (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (/ 1 (/ 1 alpha)) (* 1 1)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))
* [misc]approximate:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (/ 1 (- alpha))) (* 1 1)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]approximate:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]approximate:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* * * [misc]progress:  tayloring alt 11 of 12
* [misc]approximate:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta 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 (+ (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta 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 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) 1.0) into (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ 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 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))) into (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ 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 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))) into (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))) into (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))) into (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))))
* [misc]approximate:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (+ 1.0 (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ 1.0 (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ 1.0 (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (+ 1.0 (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) into (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 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 (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) into (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (cbrt (+ alpha beta)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ alpha beta)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ alpha beta)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ alpha beta)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ alpha beta))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) into (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) into (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ beta alpha)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ beta alpha))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) into (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))) into (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (cbrt (+ beta alpha)) into (cbrt (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 i (+ beta alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 i (+ beta alpha))) into (cbrt (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) into (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))) into (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))) into (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 i (+ beta alpha)))) (+ (* (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) (/ 0 (cbrt (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (* 0 (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (* 0 (cbrt (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 i (+ beta alpha)))) (+ (* (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))) (/ 0 (cbrt (fma 2 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 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (* 0 (cbrt (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 i (+ beta alpha)))) (+ (* (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))) (/ 0 (cbrt (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 i (+ beta alpha)))) (+ (* (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))) (/ 0 (cbrt (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (cbrt (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* 0 0) (* 0 (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 i (+ beta alpha)))) (+ (* (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))) (/ 0 (cbrt (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (cbrt (fma 2 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 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))) into (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 alpha) (/ 1 beta))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 alpha) (/ 1 beta))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 alpha) (/ 1 beta))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 alpha) (/ 1 beta))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 alpha) (/ 1 beta))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (/ 1 alpha))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) into (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (/ 1 alpha))) into (cbrt (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) into (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (* 0 (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (* 0 (cbrt (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) 0) (* 0 (cbrt (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in 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 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* 0 (/ 0 (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) into (cbrt (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (* 0 (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) 0) (* 0 (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha)))) 0) (* 0 (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in 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 beta) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* * * [misc]progress:  tayloring alt 12 of 12
* [misc]approximate:  Taking taylor expansion of (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ alpha 2.0) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2.0 alpha) (fma i 2 beta)) into (+ 2.0 (+ alpha (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ (+ beta alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 2.0) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2.0 alpha) (fma i 2 beta)) into (+ 2.0 (+ alpha (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta 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 (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (* (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ (fma 2 i (+ beta alpha)) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ beta (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ beta (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ beta (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 0) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (+ (* 1 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (* (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) (* (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ beta (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (/ (fma 2 i (+ beta alpha)) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))) into (- (/ beta (* (pow (+ 2.0 (fma i 2 beta)) 3) (fma 2 i (+ beta alpha)))) (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ beta (* (pow (+ 2.0 (fma i 2 beta)) 3) (fma 2 i (+ beta alpha)))) (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (* (pow (+ 2.0 (fma i 2 beta)) 3) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ 2.0 (fma i 2 beta)) 3) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ 2.0 (fma i 2 beta)) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ 2.0 (fma i 2 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 2.0 (fma i 2 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ 2.0 (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (log (+ 2.0 (fma i 2 beta))) into (log (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (+ 2.0 (fma i 2 beta)))) into (* 3 (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ 2.0 (fma i 2 beta))))) into (pow (+ 2.0 (fma i 2 beta)) 3)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* (pow (+ 2.0 (fma i 2 beta)) 3) (fma 2 i (+ beta alpha))) into (* (pow (+ 2.0 (fma i 2 beta)) 3) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (+ 2.0 (fma i 2 beta)) 3) (fma 2 i (+ beta alpha)))) into (/ 1 (* (pow (+ 2.0 (fma i 2 beta)) 3) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (sqr (* 1 (* 1 alpha)))) (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (* 1 (* beta 1))) (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (* 1 (* 1 alpha))))) into (- (+ (/ alpha (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) (/ (sqr alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2.0) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2.0) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) 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 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) 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 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (/ (/ 1 beta) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 0) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (sqr (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (* 0 0)) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (* 1 (* (/ 1 (/ 1 beta)) (sqr (/ 1 alpha))))) (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 (/ 1 beta)) (/ 1 alpha)))))) into (- (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (+ (/ (* beta (fma (/ 1 i) 2 (/ 1 beta))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))) (* 2.0 (/ beta (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in (alpha beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 2.0) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- 2.0 (/ 1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 2.0) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- 2.0 (/ 1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 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 (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 beta)) (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 0 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (sqr (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 0) into (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 1 (* (/ 1 (/ 1 (- beta))) (sqr (/ 1 (- alpha)))))) (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 (- beta))) (/ 1 (- alpha))))))) into (- (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 2.0 (/ beta (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (* beta (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 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 (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ alpha 2.0) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2.0 alpha) (fma i 2 beta)) into (+ 2.0 (+ alpha (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ (+ beta alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 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 (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 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 (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 2.0) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2.0 alpha) (fma i 2 beta)) into (+ 2.0 (+ alpha (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 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 (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 2.0) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2.0 alpha) (fma i 2 beta)) into (+ 2.0 (+ alpha (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta 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) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (* (- alpha) (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (sqr alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) 1.0) into (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ (sqr alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ 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 (/ (sqr alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ alpha (fma i 2 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ alpha (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 beta)) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ alpha (fma i 2 beta))) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (+ (* (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))))) into (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- alpha) (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* 1 (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ alpha (fma i 2 beta))) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (+ (* (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (+ (* 1 (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* 0 (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))))) into (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) 0) into (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ alpha (fma i 2 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ alpha (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 beta)) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ 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 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) (sqr (* 1 (* alpha 1)))) (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))) 1.0)) into (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 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 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2.0) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 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 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) 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 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 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 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2.0) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 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 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2.0) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (- (/ 1 alpha)) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 alpha)) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) 1.0) into (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) into (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 alpha)) 0) (+ (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 alpha) (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 alpha)) 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 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 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 2.0) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- 2.0 (/ 1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 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 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 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 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 2.0) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- 2.0 (/ 1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 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 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 2.0) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- 2.0 (/ 1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 0) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 1 alpha))
* [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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (* -1 (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* (/ 1 alpha) (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 alpha) (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 0 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 1.0) into (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 alpha) 0) (+ (* 0 (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 0 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ 1.0 (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (- alpha)) (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 (- alpha))) 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 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 (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ alpha 2.0) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2.0 alpha) (fma i 2 beta)) into (+ 2.0 (+ alpha (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ (+ beta alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 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 (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 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 (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 2.0) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2.0 alpha) (fma i 2 beta)) into (+ 2.0 (+ alpha (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 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 (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 2.0) into (+ 2.0 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2.0 alpha) (fma i 2 beta)) into (+ 2.0 (+ alpha (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (* (- alpha) (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (* -1 (/ (sqr alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (sqr alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (sqr alpha) (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ alpha (fma i 2 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ alpha (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 beta)) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ alpha (fma i 2 beta))) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (+ (* (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))))) into (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- alpha) (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* 1 (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ alpha (fma i 2 beta))) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (+ (* (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (+ (* 1 (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* 0 (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))))) into (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ alpha (fma i 2 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ alpha (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 beta)) into (fma i 2 beta)
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ 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 (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (+ alpha (fma i 2 beta))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (+ (* (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* 0 (/ 0 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (+ (* 1 0) (+ (* 0 (/ 1 (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* 0 (/ alpha (* (+ 2.0 (+ alpha (fma i 2 beta))) (fma 2 i (+ beta alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ (fma 2 i (+ beta alpha)) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (+ 2.0 (fma i 2 beta))) into (sqr (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))) into (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) into (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) into (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) (* 1 (* alpha (sqr beta)))) (+ (* (/ -1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* alpha 1)))) (* (/ 1 (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (sqr (* 1 (* 1 beta)))))) into (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 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 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2.0) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) (/ 1 alpha)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ (+ (/ 1 beta) (/ 1 alpha)) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 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 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) 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 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 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 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2.0) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (/ (+ (/ 1 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 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 alpha) (/ 1 beta)) (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2.0) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 alpha) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* (- (/ 1 alpha)) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 alpha)) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) 0) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 1) (+ (* 0 0) (* 0 0))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (+ (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (* 0 (/ 0 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (/ 1 alpha)) 0) (+ (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) (* 0 (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* 1 (* (/ 1 alpha) (/ 1 (sqr (/ 1 beta)))))) (* (- (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 alpha)) 1))))) into (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 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 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 2.0) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- 2.0 (/ 1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) (/ 1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 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 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 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 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 2.0) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- 2.0 (/ 1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))))) 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 (- alpha)) (/ 1 (- beta))) (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 2.0) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- 2.0 (/ 1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 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 alpha) 0) into (- (/ 1 alpha))
* [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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 alpha)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (* -1 (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* (/ 1 alpha) (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 alpha) (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 0 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -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 (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) into (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (* 0 (/ 0 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 alpha) 0) (+ (* 0 (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (* 0 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 0 0) (* 0 0)))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* (/ -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (- alpha)) (/ 1 (sqr (/ 1 (- beta))))))) (* (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* (/ 1 (/ 1 (- alpha))) 1))))) into (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2.0) (fma i 2 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma 2 i (+ alpha beta)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in i
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 2.0 (fma i 2 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma i 2 beta) in beta
* [misc]backup-simplify:  Simplify (fma i 2 beta) into (fma i 2 beta)
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))) into (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 1 (fma 2 i (+ beta alpha)))) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma 2 i (+ beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (fma 2 i (+ beta alpha)) into (fma 2 i (+ beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 0 (fma 2 i (+ beta alpha)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (+ (* 1 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (+ (* 0 0) (* 0 (fma 2 i (+ beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 i (+ beta alpha)) (* 1 (* 1 alpha))) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) into (+ (* (fma i 2 beta) (fma 2 i (+ beta alpha))) (+ (* alpha (fma 2 i (+ beta alpha))) (* 2.0 (fma 2 i (+ beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) 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 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2.0) 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 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) into (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) into (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))) into (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta)))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (* 1 (* 1 (/ 1 (/ 1 alpha)))))) into (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))
* [misc]approximate:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2.0) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- beta))) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* -1 (fma 2 (/ -1 i) (- (+ (/ 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 (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 beta)) into (fma (/ -1 i) 2 (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) into (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) into (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 beta)) 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* (* -1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 1 (* 1 (/ 1 (/ 1 (- alpha))))))) into (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))
* * * [misc]progress:  simplifying alt 1 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 2 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 3 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 4 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 5 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 6 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 7 of 144
* [enter]simplify:  Simplifying (/ (fma (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta))))) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (/ beta (+ (fma i 2 beta) 2.0)) (fma (/ alpha (+ (fma i 2 beta) 2.0)) (/ beta (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- (/ beta (+ (fma i 2 beta) 2.0)) (fma (/ alpha (+ (fma i 2 beta) 2.0)) (/ beta (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 8 of 144
* [enter]simplify:  Simplifying (/ (fma (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (+ (/ beta alpha) (/ 2.0 alpha)) (- (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) 1)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (+ (/ beta alpha) (/ 2.0 alpha)) (- (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) 1)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 9 of 144
* [enter]simplify:  Simplifying (/ (fma (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1) (/ (+ alpha beta) (sqr (sqrt (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (/ beta alpha) (- (/ 2.0 alpha) 1))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (/ beta alpha) (- (/ 2.0 alpha) 1))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 10 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 i (+ beta alpha))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 i (+ beta alpha))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 11 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 12 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 13 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) 2.0))
* * * [misc]progress:  simplifying alt 14 of 144
* [enter]simplify:  Simplifying (/ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0))
* * * [misc]progress:  simplifying alt 15 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (+ 1.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (* beta (/ beta alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (+ 1.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (* beta (/ beta alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) 2.0))
* * * [misc]progress:  simplifying alt 16 of 144
* [enter]simplify:  Simplifying (/ (+ (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) (fma (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta)))) (/ alpha (fma 2 i (+ beta alpha))) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) (fma (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta)))) (/ alpha (fma 2 i (+ beta alpha))) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) 2.0))
* * * [misc]progress:  simplifying alt 17 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0))
* * * [misc]progress:  simplifying alt 18 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0))
* * * [misc]progress:  simplifying alt 19 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (- (+ (/ (* alpha (fma 2 i (+ beta alpha))) (+ 2.0 (fma i 2 beta))) (/ (* beta (fma 2 i (+ beta alpha))) (+ 2.0 (fma i 2 beta)))) (/ (* beta (* alpha (fma 2 i (+ beta alpha)))) (sqr (+ 2.0 (fma i 2 beta)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (* (/ beta (+ (fma i 2 beta) (+ alpha 2.0))) (/ beta (+ (fma i 2 beta) (+ alpha 2.0)))) (* (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))) (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))) (- (* (fma 2 i (+ beta alpha)) (+ (/ beta (+ 2.0 (fma i 2 beta))) (/ alpha (+ 2.0 (fma i 2 beta))))) (* (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta))) (/ (* beta alpha) (+ 2.0 (fma i 2 beta)))))) (+ beta alpha) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (* (/ beta (+ (fma i 2 beta) (+ alpha 2.0))) (/ beta (+ (fma i 2 beta) (+ alpha 2.0)))) (* (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))) (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))) (- (* (fma 2 i (+ beta alpha)) (+ (/ beta (+ 2.0 (fma i 2 beta))) (/ alpha (+ 2.0 (fma i 2 beta))))) (* (/ (fma 2 i (+ beta alpha)) (+ 2.0 (fma i 2 beta))) (/ (* beta alpha) (+ 2.0 (fma i 2 beta)))))) (+ beta alpha) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 20 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (- (+ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta) alpha)) (+ (* 2.0 (/ (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))) alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (* (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (* (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (- (fma (/ (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) alpha) beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (* (/ (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) alpha) (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))))) (+ beta alpha) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (* (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (* (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (- (fma (/ (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) alpha) beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (* (/ (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) alpha) (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))))) (+ beta alpha) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 21 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (- (+ (/ (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha)) (/ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (* (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (* (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (- (fma (/ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (fma 2.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))))) (+ beta alpha) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (* (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (* (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))))) (- (fma (/ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (fma 2.0 (/ (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) alpha) (* (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))))) (+ beta alpha) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 22 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (- (+ (/ (* (sqr beta) alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (pow beta 3) (sqr (+ 2.0 (fma i 2 beta))))) (/ (* beta (sqr alpha)) (sqr (+ 2.0 (fma i 2 beta))))) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (fma (/ alpha (+ (fma i 2 beta) 2.0)) (/ (sqr beta) (+ (fma i 2 beta) 2.0)) (- (* (/ beta (+ (fma i 2 beta) 2.0)) (/ (sqr beta) (+ (fma i 2 beta) 2.0))) (* (/ beta (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (+ (fma i 2 beta) 2.0))))) (* (+ (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ beta alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (fma (/ alpha (+ (fma i 2 beta) 2.0)) (/ (sqr beta) (+ (fma i 2 beta) 2.0)) (- (* (/ beta (+ (fma i 2 beta) 2.0)) (/ (sqr beta) (+ (fma i 2 beta) 2.0))) (* (/ beta (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (+ (fma i 2 beta) 2.0))))) (* (+ (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))) (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ beta alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 23 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (- (/ (sqr beta) alpha) (+ beta alpha)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (/ (- (/ beta (/ alpha beta)) (+ beta alpha)) (fma 2 i (+ beta alpha))) (+ (/ alpha (+ (+ 2.0 alpha) (fma i 2 beta))) (/ beta (+ (+ 2.0 alpha) (fma i 2 beta))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (/ (- (/ beta (/ alpha beta)) (+ beta alpha)) (fma 2 i (+ beta alpha))) (+ (/ alpha (+ (+ 2.0 alpha) (fma i 2 beta))) (/ beta (+ (+ 2.0 alpha) (fma i 2 beta))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 24 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (- (/ (sqr beta) alpha) (+ beta alpha)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (/ (- (/ beta (/ alpha beta)) (+ beta alpha)) (fma 2 i (+ beta alpha))) (+ (/ alpha (+ (+ 2.0 alpha) (fma i 2 beta))) (/ beta (+ (+ 2.0 alpha) (fma i 2 beta))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (/ (- (/ beta (/ alpha beta)) (+ beta alpha)) (fma 2 i (+ beta alpha))) (+ (/ alpha (+ (+ 2.0 alpha) (fma i 2 beta))) (/ beta (+ (+ 2.0 alpha) (fma i 2 beta))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 25 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 26 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 27 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 28 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 29 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 30 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 31 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ beta alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 32 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 33 of 144
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (cube (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 34 of 144
* [enter]simplify:  Simplifying (/ (fma (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta))))) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (/ beta (+ (fma i 2 beta) 2.0)) (fma (/ alpha (+ (fma i 2 beta) 2.0)) (/ beta (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- (/ beta (+ (fma i 2 beta) 2.0)) (fma (/ alpha (+ (fma i 2 beta) 2.0)) (/ beta (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 35 of 144
* [enter]simplify:  Simplifying (/ (fma (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (+ (/ beta alpha) (/ 2.0 alpha)) (- (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) 1)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (+ (/ beta alpha) (/ 2.0 alpha)) (- (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) 1)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 36 of 144
* [enter]simplify:  Simplifying (/ (fma (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1) (/ (+ alpha beta) (cube (cbrt (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (/ beta alpha) (- (/ 2.0 alpha) 1))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (/ beta alpha) (- (/ 2.0 alpha) 1))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 37 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (+ (* 4.0 (/ (* beta alpha) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (+ (* 16.0 (/ (* beta (sqr alpha)) (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (+ (/ beta (- (sqr (fma i 2 beta)) 4.0)) (/ (* beta (sqr alpha)) (sqr (- (sqr (fma i 2 beta)) 4.0)))))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (fma 16.0 (/ (* alpha (* alpha beta)) (cube (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) (/ (* 4.0 (* alpha beta)) (sqr (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)))) (- (fma (/ beta (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* alpha alpha) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ beta (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) (/ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma i 2 beta) (+ alpha 2.0)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (fma 16.0 (/ (* alpha (* alpha beta)) (cube (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) (/ (* 4.0 (* alpha beta)) (sqr (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)))) (- (fma (/ beta (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* alpha alpha) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ beta (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) (/ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma i 2 beta) (+ alpha 2.0)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 38 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (- (* 4.0 (/ beta (pow alpha 3))) (+ (/ beta (sqr alpha)) (+ (* 12.0 (/ beta (pow alpha 4))) (/ (* beta (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (pow alpha 4))))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- (- (/ (* 4.0 beta) (cube alpha)) (fma 12.0 (/ beta (pow alpha 4)) (/ beta (* alpha alpha)))) (+ (* (/ beta (pow alpha 4)) (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (/ alpha (- (* (fma i 2 beta) (fma i 2 beta)) (sqr (+ alpha 2.0)))))) (- (fma i 2 beta) (+ alpha 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- (- (/ (* 4.0 beta) (cube alpha)) (fma 12.0 (/ beta (pow alpha 4)) (/ beta (* alpha alpha)))) (+ (* (/ beta (pow alpha 4)) (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (/ alpha (- (* (fma i 2 beta) (fma i 2 beta)) (sqr (+ alpha 2.0)))))) (- (fma i 2 beta) (+ alpha 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 39 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (- (* 4.0 (/ beta (pow alpha 3))) (+ (/ (* beta (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (pow alpha 4)) (+ (* 12.0 (/ beta (pow alpha 4))) (/ beta (sqr alpha))))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- (- (/ (* 4.0 beta) (cube alpha)) (* (/ beta (pow alpha 4)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (fma (/ beta (pow alpha 4)) 12.0 (/ beta (* alpha alpha))) (/ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma i 2 beta) (+ alpha 2.0))))) (- (fma i 2 beta) (+ alpha 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- (- (/ (* 4.0 beta) (cube alpha)) (* (/ beta (pow alpha 4)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (fma (/ beta (pow alpha 4)) 12.0 (/ beta (* alpha alpha))) (/ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma i 2 beta) (+ alpha 2.0))))) (- (fma i 2 beta) (+ alpha 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 40 of 144
* [enter]simplify:  Simplifying (/ (- (+ 1.0 (+ (/ (* (sqr beta) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))))) (+ (* 2.0 (/ (sqr beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ (fma i 2 beta) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* beta beta) (fma 2 i (+ alpha beta))) 1.0) (* (/ 2.0 (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (- (/ (* alpha alpha) (fma 2 i (+ alpha beta))) (/ (* beta beta) (fma 2 i (+ alpha beta)))))) (/ (/ (* (* alpha alpha) (fma i 2 beta)) (fma 2 i (+ alpha beta))) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (fma (/ (fma i 2 beta) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* beta beta) (fma 2 i (+ alpha beta))) 1.0) (* (/ 2.0 (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (- (/ (* alpha alpha) (fma 2 i (+ alpha beta))) (/ (* beta beta) (fma 2 i (+ alpha beta)))))) (/ (/ (* (* alpha alpha) (fma i 2 beta)) (fma 2 i (+ alpha beta))) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) 2.0))
* * * [misc]progress:  simplifying alt 41 of 144
* [enter]simplify:  Simplifying (/ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0))
* * * [misc]progress:  simplifying alt 42 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (+ 1.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (* beta (/ beta alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (+ 1.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (* beta (/ beta alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) 2.0))
* * * [misc]progress:  simplifying alt 43 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (+ (* 16.0 (/ (pow alpha 3) (pow (- (sqr (fma i 2 beta)) 4.0) 3))) (+ (* 4.0 (/ (sqr alpha) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (+ (/ alpha (- (sqr (fma i 2 beta)) 4.0)) (/ (pow alpha 3) (sqr (- (sqr (fma i 2 beta)) 4.0))))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (fma i 2 beta) (+ alpha 2.0)) (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (- (/ (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma i 2 beta) (+ alpha 2.0))) (/ (* (* 16.0 alpha) (* alpha alpha)) (cube (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)))) (+ (fma (/ 4.0 (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* alpha alpha) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ alpha (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) (/ (/ (cube alpha) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- (fma i 2 beta) (+ alpha 2.0)) (* (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (- (/ (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma i 2 beta) (+ alpha 2.0))) (/ (* (* 16.0 alpha) (* alpha alpha)) (cube (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)))) (+ (fma (/ 4.0 (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* alpha alpha) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ alpha (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) (/ (/ (cube alpha) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 44 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (- (* 4.0 (/ 1 (sqr alpha))) (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (pow alpha 3)) (+ (* 12.0 (/ 1 (pow alpha 3))) (/ 1 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (- (/ (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma i 2 beta) (+ alpha 2.0))) (/ (/ 4.0 alpha) alpha)) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha))) (+ (/ 1 alpha) (/ 12.0 (cube alpha)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (- (/ (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma i 2 beta) (+ alpha 2.0))) (/ (/ 4.0 alpha) alpha)) (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha))) (+ (/ 1 alpha) (/ 12.0 (cube alpha)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 45 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (- (* 4.0 (/ 1 (sqr alpha))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (pow alpha 3)) (+ (* 12.0 (/ 1 (pow alpha 3))) (/ 1 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (/ (cube alpha) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 12.0 (cube alpha)) (/ 1 alpha))) (- (/ (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma i 2 beta) (+ alpha 2.0))) (/ 4.0 (* alpha alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (/ (cube alpha) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 12.0 (cube alpha)) (/ 1 alpha))) (- (/ (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma i 2 beta) (+ alpha 2.0))) (/ 4.0 (* alpha alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 46 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ (* (sqr beta) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))) (* 2.0 (/ (sqr alpha) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) (+ (* 2.0 (/ (sqr beta) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha))))) (/ (* (sqr alpha) (fma i 2 beta)) (* (- (sqr (fma i 2 beta)) 4.0) (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ (sqr beta) (fma 2 i (+ beta alpha))) (/ (fma i 2 beta) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (* (/ 2.0 (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (- (/ (* alpha alpha) (fma 2 i (+ beta alpha))) (/ (sqr beta) (fma 2 i (+ beta alpha)))))) (- (/ (/ (* (* alpha alpha) (fma i 2 beta)) (fma 2 i (+ beta alpha))) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) 1.0)) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (fma (/ (sqr beta) (fma 2 i (+ beta alpha))) (/ (fma i 2 beta) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (* (/ 2.0 (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (- (/ (* alpha alpha) (fma 2 i (+ beta alpha))) (/ (sqr beta) (fma 2 i (+ beta alpha)))))) (- (/ (/ (* (* alpha alpha) (fma i 2 beta)) (fma 2 i (+ beta alpha))) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) 1.0)) 2.0))
* * * [misc]progress:  simplifying alt 47 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0))
* * * [misc]progress:  simplifying alt 48 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0))
* * * [misc]progress:  simplifying alt 49 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (* (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) beta) (+ 2.0 (fma i 2 beta))) 1.0) (/ (* (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha))))) alpha) (+ 2.0 (fma i 2 beta)))) 2.0)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) 2.0)) beta 1.0) (/ (/ (* (+ beta alpha) alpha) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) 2.0))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (fma (/ (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) 2.0)) beta 1.0) (/ (/ (* (+ beta alpha) alpha) (fma 2 i (+ beta alpha))) (+ (fma i 2 beta) 2.0))) 2.0))
* * * [misc]progress:  simplifying alt 50 of 144
* [enter]simplify:  Simplifying (/ (- (+ (* 2.0 (/ (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) alpha)) (+ 1.0 (+ (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) alpha) (/ (* beta (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) alpha)))) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma (/ (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) alpha) 2.0 1.0) (- (* (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (+ (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (fma (/ (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) alpha) 2.0 1.0) (- (* (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (+ (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 2.0))
* * * [misc]progress:  simplifying alt 51 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (* (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ -1 i) 2 (/ -1 beta))) alpha) (+ 1.0 (+ (/ (* beta (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) alpha) (* 2.0 (/ (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) alpha))))) (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 2.0)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (/ (- (fma 2.0 (/ (/ (- (+ (/ 1 alpha) (/ 1 beta))) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (fma (/ beta alpha) (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) (- (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (* (fma (/ -1 i) 2 (/ -1 beta)) (/ (/ (- (+ (/ 1 alpha) (/ 1 beta))) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (fma 2.0 (/ (/ (- (+ (/ 1 alpha) (/ 1 beta))) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (fma (/ beta alpha) (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) (- (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (* (fma (/ -1 i) 2 (/ -1 beta)) (/ (/ (- (+ (/ 1 alpha) (/ 1 beta))) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))))) 2.0))
* * * [misc]progress:  simplifying alt 52 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 53 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 54 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 55 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 56 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 57 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 58 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 59 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ (/ 1 beta) (/ 1 alpha))) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 60 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 i (+ beta alpha))) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 i (+ beta alpha))) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 61 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) 2.0))
* * * [misc]progress:  simplifying alt 62 of 144
* [enter]simplify:  Simplifying (/ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0))
* * * [misc]progress:  simplifying alt 63 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (+ 1.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (* beta (/ beta alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (+ 1.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (* beta (/ beta alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) 2.0))
* * * [misc]progress:  simplifying alt 64 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (/ alpha (+ 2.0 (fma i 2 beta))) (/ (pow alpha 3) (pow (+ 2.0 (fma i 2 beta)) 3))) (/ (sqr alpha) (sqr (+ 2.0 (fma i 2 beta)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (/ (fma (fma (/ alpha (+ 2.0 (fma i 2 beta))) (/ alpha (+ 2.0 (fma i 2 beta))) (- (- (/ beta (+ (fma i 2 beta) (+ alpha 2.0))) (/ alpha (+ 2.0 (fma i 2 beta)))) (/ (cube alpha) (cube (+ 2.0 (fma i 2 beta)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (fma (/ alpha (+ 2.0 (fma i 2 beta))) (/ alpha (+ 2.0 (fma i 2 beta))) (- (- (/ beta (+ (fma i 2 beta) (+ alpha 2.0))) (/ alpha (+ 2.0 (fma i 2 beta)))) (/ (cube alpha) (cube (+ 2.0 (fma i 2 beta)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 65 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha)))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (* 2.0 (/ 1 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma (/ 4.0 alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) 1)) (- (+ (/ 2.0 alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha)) (/ (/ 4.0 alpha) alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma (/ 4.0 alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) 1)) (- (+ (/ 2.0 alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha)) (/ (/ 4.0 alpha) alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 66 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) 1) (fma (/ 4.0 alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (/ 4.0 alpha) alpha)))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) 1) (fma (/ 4.0 alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (/ 4.0 alpha) alpha)))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 67 of 144
* [enter]simplify:  Simplifying (/ (+ (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) (fma (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta)))) (/ alpha (fma 2 i (+ beta alpha))) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) (fma (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta)))) (/ alpha (fma 2 i (+ beta alpha))) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) 2.0))
* * * [misc]progress:  simplifying alt 68 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0))
* * * [misc]progress:  simplifying alt 69 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0))
* * * [misc]progress:  simplifying alt 70 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 71 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 72 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (+ (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 73 of 144
* [enter]simplify:  Simplifying (/ (- 1.0 (+ (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) (/ (* beta (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) (fma 2 i (+ beta alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (- 1.0 (fma (/ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (fma 2 i (+ alpha beta))) alpha (* (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (fma 2 i (+ alpha beta)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- 1.0 (fma (/ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (fma 2 i (+ alpha beta))) alpha (* (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (fma 2 i (+ alpha beta)))))) 2.0))
* * * [misc]progress:  simplifying alt 74 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* beta (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (* (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (fma (/ (/ (/ 1 alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) alpha (/ (/ (/ beta alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (fma (/ (/ (/ 1 alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) alpha (/ (/ (/ beta alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0))
* * * [misc]progress:  simplifying alt 75 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (/ (* (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (* beta (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 2.0)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (fma (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) alpha) (/ (/ (/ (- alpha) alpha) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (fma (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) alpha) (/ (/ (/ (- alpha) alpha) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 2.0))
* * * [misc]progress:  simplifying alt 76 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 77 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ (/ 1 alpha) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ (/ 1 alpha) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 78 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ -1 (* (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ -1 (* (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 79 of 144
* [enter]simplify:  Simplifying (/ (+ (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) (fma 2 i (+ beta alpha))) (/ (* beta (log1p (expm1 (/ alpha (+ 2.0 (+ (fma i 2 beta) alpha)))))) (fma 2 i (+ beta alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) (fma (/ beta (fma 2 i (+ beta alpha))) (/ alpha (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (/ alpha (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (fma 2 i (+ beta alpha)) alpha)))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) (fma (/ beta (fma 2 i (+ beta alpha))) (/ alpha (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (/ alpha (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (fma 2 i (+ beta alpha)) alpha)))) 2.0))
* * * [misc]progress:  simplifying alt 80 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (* beta (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (* alpha (log1p (expm1 (/ 1 (* alpha (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (- (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (/ 1 alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))))) (- (* (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (/ 1 alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))))) 1.0)) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (* (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (/ 1 alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))))) (- (* (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (/ 1 alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta))))) 1.0)) 2.0))
* * * [misc]progress:  simplifying alt 81 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (/ (* (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))) alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (* beta (log1p (expm1 (/ -1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (+ 1.0 (- (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (fma (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) alpha) (/ (/ (/ (- alpha) alpha) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ 1.0 (- (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (fma (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) alpha) (/ (/ (/ (- alpha) alpha) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 2.0))
* * * [misc]progress:  simplifying alt 82 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (- (+ (/ alpha (+ 2.0 (fma i 2 beta))) (/ (pow alpha 3) (pow (+ 2.0 (fma i 2 beta)) 3))) (/ (sqr alpha) (sqr (+ 2.0 (fma i 2 beta)))))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (- (/ beta (+ (fma i 2 beta) (+ alpha 2.0))) (/ alpha (+ 2.0 (fma i 2 beta)))) (- (/ (cube alpha) (cube (+ 2.0 (fma i 2 beta)))) (* (/ alpha (+ 2.0 (fma i 2 beta))) (/ alpha (+ 2.0 (fma i 2 beta)))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (- (/ beta (+ (fma i 2 beta) (+ alpha 2.0))) (/ alpha (+ 2.0 (fma i 2 beta)))) (- (/ (cube alpha) (cube (+ 2.0 (fma i 2 beta)))) (* (/ alpha (+ 2.0 (fma i 2 beta))) (/ alpha (+ 2.0 (fma i 2 beta)))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 83 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha)))))) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (* 2.0 (/ 1 alpha))))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma (/ 4.0 alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) 1)) (- (+ (/ 2.0 alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha)) (/ (/ 4.0 alpha) alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (fma (/ 4.0 alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) 1)) (- (+ (/ 2.0 alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha)) (/ (/ 4.0 alpha) alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 84 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (fma (/ 4.0 alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (/ 4.0 alpha) alpha)) (- (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) 1) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (fma (/ 4.0 alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (/ 4.0 alpha) alpha)) (- (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) 1) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 85 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (+ (sqr (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 4.0 alpha))) (fma (/ 4.0 alpha) (/ 1 alpha) 1))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (+ (sqr (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 4.0 alpha))) (fma (/ 4.0 alpha) (/ 1 alpha) 1))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 86 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) 1) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (+ (- 1 (/ 2.0 alpha)) (/ (/ 4.0 alpha) alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (+ (- 1 (/ 2.0 alpha)) (/ (/ 4.0 alpha) alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 87 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) 1) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (+ (- 1 (/ 2.0 alpha)) (/ (/ 4.0 alpha) alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (+ (- 1 (/ 2.0 alpha)) (/ (/ 4.0 alpha) alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 88 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) 1) (fma (/ 4.0 alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (/ 4.0 alpha) alpha)))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) 1) (fma (/ 4.0 alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (/ 4.0 alpha) alpha)))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 89 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (+ (fma (/ (fma (- i) 2 (- beta)) alpha) (/ (fma (- i) 2 (- beta)) alpha) 1) (fma (/ 4.0 alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (/ 4.0 alpha) alpha))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (- (+ (fma (/ (fma (- i) 2 (- beta)) alpha) (/ (fma (- i) 2 (- beta)) alpha) 1) (fma (/ 4.0 alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (/ 4.0 alpha) alpha))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 90 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma i 2 beta)) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (fma (/ 4.0 alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (/ 4.0 alpha) alpha)) (- (fma (/ (fma i 2 beta) alpha) (/ (fma i 2 beta) alpha) 1) (/ 2.0 alpha)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (fma (/ 4.0 alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (/ 4.0 alpha) alpha)) (- (fma (/ (fma i 2 beta) alpha) (/ (fma i 2 beta) alpha) 1) (/ 2.0 alpha)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 91 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ 1 (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (+ (sqr (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 4.0 alpha))) (fma (/ 4.0 alpha) (/ 1 alpha) 1))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (+ (sqr (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 4.0 alpha))) (fma (/ 4.0 alpha) (/ 1 alpha) 1))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 92 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (/ (sqr (fma (* -1 i) 2 (* -1 beta))) (sqr alpha)) (+ 1 (* 4.0 (/ (fma (* -1 i) 2 (* -1 beta)) (sqr alpha)))))) (+ (/ (fma (* -1 i) 2 (* -1 beta)) alpha) (* 2.0 (/ 1 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (fma 4.0 (/ (fma (- i) 2 (- beta)) (* alpha alpha)) 1) (fma (/ (fma (- i) 2 (- beta)) alpha) (/ (fma (- i) 2 (- beta)) alpha) (/ (/ 4.0 alpha) alpha)))) (+ (/ 2.0 alpha) (/ (fma (- i) 2 (- beta)) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (+ (fma 4.0 (/ (fma (- i) 2 (- beta)) (* alpha alpha)) 1) (fma (/ (fma (- i) 2 (- beta)) alpha) (/ (fma (- i) 2 (- beta)) alpha) (/ (/ 4.0 alpha) alpha)))) (+ (/ 2.0 alpha) (/ (fma (- i) 2 (- beta)) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 93 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma i 2 beta) (sqr alpha))) (+ 1 (/ (sqr (fma i 2 beta)) (sqr alpha))))) (+ (/ (fma i 2 beta) alpha) (* 2.0 (/ 1 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (+ (- (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ (/ 4.0 alpha) alpha)) (fma (/ 4.0 alpha) (/ (fma i 2 beta) alpha) (fma (/ (fma i 2 beta) alpha) (/ (fma i 2 beta) alpha) 1))) (+ (/ (fma i 2 beta) alpha) (/ 2.0 alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (+ (- (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ (/ 4.0 alpha) alpha)) (fma (/ 4.0 alpha) (/ (fma i 2 beta) alpha) (fma (/ (fma i 2 beta) alpha) (/ (fma i 2 beta) alpha) 1))) (+ (/ (fma i 2 beta) alpha) (/ 2.0 alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 94 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ (* beta (fma (/ -1 i) 2 (/ -1 beta))) (* alpha (fma 2 i (+ beta alpha)))) (* 2.0 (/ beta (* alpha (fma 2 i (+ beta alpha)))))) (+ (* 4.0 (/ 1 (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (* beta (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (sqr alpha) (fma 2 i (+ beta alpha)))) (+ (* 4.0 (/ (* beta (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 i (+ beta alpha))))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (fma 2 i (+ beta alpha))))) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* alpha (fma 2 i (+ beta alpha)))) (* 4.0 (/ beta (* (sqr alpha) (fma 2 i (+ beta alpha))))))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (242 enodes)
* [exit]simplify:  Simplified to (/ (+ 1.0 (- (- (fma (/ beta alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ alpha beta))) (/ (/ beta (/ alpha 2.0)) (fma 2 i (+ alpha beta)))) (fma (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) (/ beta (fma 2 i (+ alpha beta))) (/ (/ 4.0 alpha) (fma 2 i (+ alpha beta))))) (+ (* (/ 4.0 (fma 2 i (+ alpha beta))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (/ alpha beta))) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) (fma (/ (/ beta (* alpha alpha)) (fma 2 i (+ alpha beta))) 4.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (fma 2 i (+ alpha beta)) alpha)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ 1.0 (- (- (fma (/ beta alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 i (+ alpha beta))) (/ (/ beta (/ alpha 2.0)) (fma 2 i (+ alpha beta)))) (fma (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)) (/ beta (fma 2 i (+ alpha beta))) (/ (/ 4.0 alpha) (fma 2 i (+ alpha beta))))) (+ (* (/ 4.0 (fma 2 i (+ alpha beta))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha (/ alpha beta))) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha))) (fma (/ (/ beta (* alpha alpha)) (fma 2 i (+ alpha beta))) 4.0 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (* (fma 2 i (+ alpha beta)) alpha)))))) 2.0))
* * * [misc]progress:  simplifying alt 95 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (* -1 i) 2 (* -1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (- i) 2 (- beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (- i) 2 (- beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0))
* * * [misc]progress:  simplifying alt 96 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ beta alpha) (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (- (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (fma (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ beta alpha) (+ (/ (fma i 2 beta) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (- (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0)) 2.0))
* * * [misc]progress:  simplifying alt 97 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (* beta alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta (fma 2 i (+ beta alpha))) (/ beta (+ 2.0 (fma i 2 beta))) 1.0) (* (/ alpha (fma 2 i (+ beta alpha))) (/ beta (+ 2.0 (fma i 2 beta))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (fma (/ beta (fma 2 i (+ beta alpha))) (/ beta (+ 2.0 (fma i 2 beta))) 1.0) (* (/ alpha (fma 2 i (+ beta alpha))) (/ beta (+ 2.0 (fma i 2 beta))))) 2.0))
* * * [misc]progress:  simplifying alt 98 of 144
* [enter]simplify:  Simplifying (/ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) (+ (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) beta)) (+ (* 2.0 (/ beta (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (/ (* beta (fma (/ 1 i) 2 (/ 1 beta))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (+ (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) alpha)) (+ (/ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) beta) (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ (/ (* 2.0 beta) alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (+ (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (+ (+ 1.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) alpha)) (+ (/ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) beta) (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ (/ (* 2.0 beta) alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))))) 2.0))
* * * [misc]progress:  simplifying alt 99 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ 1 (* beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0)))) (+ (/ (* beta (fma (/ -1 i) 2 (/ -1 beta))) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (+ (* 2.0 (/ beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) 2.0)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (/ 1 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (- (+ (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta alpha) (fma (/ (/ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 2.0 (/ (/ 1 alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (/ 1 beta) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (- (+ (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta alpha) (fma (/ (/ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 2.0 (/ (/ 1 alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) 2.0))
* * * [misc]progress:  simplifying alt 100 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ beta alpha) (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 101 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 102 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 103 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (fma 2 i (+ beta alpha))) (/ alpha (fma 2 i (+ beta alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 i (+ beta alpha))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ alpha (fma 2 i (+ beta alpha))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 104 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (/ (/ (- beta alpha) alpha) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (/ (/ (- beta alpha) alpha) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 105 of 144
* [enter]simplify:  Simplifying (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (- (/ 1 (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 106 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ 2.0 (fma i 2 beta))) (+ (/ (* beta alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ alpha (+ 2.0 (fma i 2 beta))))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (fma i 2 beta) 2.0)) (fma (/ alpha (+ (fma i 2 beta) 2.0)) (/ beta (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (- (/ beta (+ (fma i 2 beta) 2.0)) (fma (/ alpha (+ (fma i 2 beta) 2.0)) (/ beta (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 107 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (+ (/ beta alpha) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))) 1) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ beta alpha) (fma 2 i (+ beta alpha))) (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 108 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (+ (* 2.0 (/ 1 alpha)) (/ beta alpha))) 1) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (- (+ (/ beta alpha) (/ 2.0 alpha)) 1)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (- (+ (/ beta alpha) (/ 2.0 alpha)) 1)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 109 of 144
* [enter]simplify:  Simplifying (/ (+ (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) (fma (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta)))) (/ alpha (fma 2 i (+ beta alpha))) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) (fma (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta)))) (/ alpha (fma 2 i (+ beta alpha))) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) 2.0))
* * * [misc]progress:  simplifying alt 110 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0))
* * * [misc]progress:  simplifying alt 111 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0))
* * * [misc]progress:  simplifying alt 112 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) 2.0))
* * * [misc]progress:  simplifying alt 113 of 144
* [enter]simplify:  Simplifying (/ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0))
* * * [misc]progress:  simplifying alt 114 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (+ 1.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (* beta (/ beta alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (+ 1.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (* beta (/ beta alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) 2.0))
* * * [misc]progress:  simplifying alt 115 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (* (- beta alpha) (+ beta alpha)) (+ (* (fma i 2 beta) (fma 2 i (+ beta alpha))) (+ (* alpha (fma 2 i (+ beta alpha))) (* 2.0 (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (* (fma 2 i (+ beta alpha)) (+ (+ 2.0 alpha) (fma i 2 beta)))) (+ beta alpha) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (* (fma 2 i (+ beta alpha)) (+ (+ 2.0 alpha) (fma i 2 beta)))) (+ beta alpha) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 116 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (* (- beta alpha) (+ beta alpha)) (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (+ 2.0 alpha) (fma (/ 1 i) 2 (/ 1 beta))))) (+ beta alpha) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ (+ 2.0 alpha) (fma (/ 1 i) 2 (/ 1 beta))))) (+ beta alpha) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 117 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (* (- beta alpha) (+ beta alpha)) (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (* (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))) (+ (fma (/ -1 i) 2 (/ -1 beta)) (+ alpha 2.0)))) (+ beta alpha) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (* (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))) (+ (fma (/ -1 i) 2 (/ -1 beta)) (+ alpha 2.0)))) (+ beta alpha) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 118 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 119 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 120 of 144
* [enter]simplify:  Simplifying (/ (+ (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 121 of 144
* [enter]simplify:  Simplifying (/ (+ 1.0 (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha)))))) 2.0)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (fma 2 i (+ alpha beta)) (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (fma 2 i (+ alpha beta)) (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 122 of 144
* [enter]simplify:  Simplifying (/ (+ 1.0 (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 123 of 144
* [enter]simplify:  Simplifying (/ (+ 1.0 (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (- (+ (/ 1 alpha) (/ 1 beta))) (/ (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (- (+ (/ 1 alpha) (/ 1 beta))) (/ (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 124 of 144
* [enter]simplify:  Simplifying (/ (+ (cube (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 125 of 144
* [enter]simplify:  Simplifying (/ (+ (cube (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 126 of 144
* [enter]simplify:  Simplifying (/ (+ (cube (* (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 127 of 144
* [enter]simplify:  Simplifying (/ (+ (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (+ 1.0 (/ (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ 1.0 (/ (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))) 2.0))
* * * [misc]progress:  simplifying alt 128 of 144
* [enter]simplify:  Simplifying (/ (+ (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (/ (+ 1.0 (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (/ 1 beta))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ 1.0 (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (/ 1 beta))))) 2.0))
* * * [misc]progress:  simplifying alt 129 of 144
* [enter]simplify:  Simplifying (/ (+ (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (+ (/ (- 1) alpha) (/ (- 1) beta)) (/ (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (+ (/ (- 1) alpha) (/ (- 1) beta)) (/ (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 130 of 144
* [enter]simplify:  Simplifying (/ (+ (cube (/ (* (cbrt (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) (cbrt (+ beta alpha))) (cbrt (fma 2 i (+ beta alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (+ 1.0 (/ (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ 1.0 (/ (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))) 2.0))
* * * [misc]progress:  simplifying alt 131 of 144
* [enter]simplify:  Simplifying (/ (+ (cube (/ (* (cbrt (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (cbrt (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (/ (+ 1.0 (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (/ 1 beta))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ 1.0 (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (/ 1 beta))))) 2.0))
* * * [misc]progress:  simplifying alt 132 of 144
* [enter]simplify:  Simplifying (/ (+ (cube (/ (* (cbrt (- (+ (/ 1 beta) (/ 1 alpha)))) (cbrt (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (cbrt (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (+ (/ (- 1) alpha) (/ (- 1) beta)) (/ (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (+ (/ (- 1) alpha) (/ (- 1) beta)) (/ (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 133 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- beta alpha) (- (+ (/ alpha (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (/ beta (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) (/ (sqr alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (/ (fma (- beta alpha) (- (+ (/ (/ beta (+ (fma i 2 beta) 2.0)) (fma 2 i (+ beta alpha))) (/ alpha (* (+ (fma i 2 beta) 2.0) (fma 2 i (+ beta alpha))))) (/ (* (/ alpha (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0))) (fma 2 i (+ beta alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- beta alpha) (- (+ (/ (/ beta (+ (fma i 2 beta) 2.0)) (fma 2 i (+ beta alpha))) (/ alpha (* (+ (fma i 2 beta) 2.0) (fma 2 i (+ beta alpha))))) (/ (* (/ alpha (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0))) (fma 2 i (+ beta alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 134 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- beta alpha) (- (+ (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))) (+ (/ (* beta (fma (/ 1 i) 2 (/ 1 beta))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))) (* 2.0 (/ beta (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (sqr alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (97 enodes)
* [exit]simplify:  Simplified to (/ (fma (- beta alpha) (- (+ (/ beta (* (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) alpha)) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) (fma 2.0 (/ (/ beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (* alpha alpha)) (* (/ beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- beta alpha) (- (+ (/ beta (* (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) alpha)) (/ 1 (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) (fma 2.0 (/ (/ beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (* alpha alpha)) (* (/ beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 135 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- beta alpha) (- (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (+ (* 2.0 (/ beta (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) (/ (* beta (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr alpha) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (/ (fma (- beta alpha) (- (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (/ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (fma (/ (/ beta (* alpha alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 2.0 (/ (/ (fma (/ -1 i) 2 (/ -1 beta)) (/ (* alpha alpha) beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- beta alpha) (- (+ (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (/ beta alpha) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (fma (/ (/ beta (* alpha alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 2.0 (/ (/ (fma (/ -1 i) 2 (/ -1 beta)) (/ (* alpha alpha) beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 136 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) 1.0) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (fma (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha))) 1.0) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) 2.0))
* * * [misc]progress:  simplifying alt 137 of 144
* [enter]simplify:  Simplifying (/ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (fma (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 2.0))
* * * [misc]progress:  simplifying alt 138 of 144
* [enter]simplify:  Simplifying (/ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ 1.0 (+ (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (+ 1.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (* beta (/ beta alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (+ 1.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (+ (/ 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (* beta (/ beta alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) 2.0))
* * * [misc]progress:  simplifying alt 139 of 144
* [enter]simplify:  Simplifying (/ (+ (- (/ (sqr beta) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))) (+ (/ (* (sqr beta) alpha) (* (sqr (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha)))) (/ (sqr alpha) (* (+ 2.0 (fma i 2 beta)) (fma 2 i (+ beta alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) (fma (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta)))) (/ alpha (fma 2 i (+ beta alpha))) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (fma 2 i (+ beta alpha)))) 1.0) (fma (* (/ beta (+ 2.0 (fma i 2 beta))) (/ beta (+ 2.0 (fma i 2 beta)))) (/ alpha (fma 2 i (+ beta alpha))) (/ (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))) (fma 2 i (+ beta alpha))))) 2.0))
* * * [misc]progress:  simplifying alt 140 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (* 2.0 (/ 1 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (+ 1.0 (/ 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (/ alpha (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0))
* * * [misc]progress:  simplifying alt 141 of 144
* [enter]simplify:  Simplifying (/ (+ (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (/ (sqr beta) (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (* 2.0 (/ 1 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))))) (/ alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (/ 2.0 (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta))))) (- (/ alpha (fma 2 (/ -1 i) (+ (/ (- 1) alpha) (/ (- 1) beta)))) 1.0)) 2.0))
* * * [misc]progress:  simplifying alt 142 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- beta alpha) (/ (+ alpha beta) (+ (* (fma i 2 beta) (fma 2 i (+ beta alpha))) (+ (* alpha (fma 2 i (+ beta alpha))) (* 2.0 (fma 2 i (+ beta alpha))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (fma (- beta alpha) (/ (+ beta alpha) (* (fma 2 i (+ beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- beta alpha) (/ (+ beta alpha) (* (fma 2 i (+ beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 143 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- beta alpha) (/ (+ alpha beta) (+ (* 2.0 (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (+ (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 beta))) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) alpha))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (/ (fma (- beta alpha) (/ (+ beta alpha) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ alpha (fma (/ 1 i) 2 (/ 1 beta)))))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- beta alpha) (/ (+ beta alpha) (* (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (+ 2.0 (+ alpha (fma (/ 1 i) 2 (/ 1 beta)))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 144 of 144
* [enter]simplify:  Simplifying (/ (+ (* (- beta alpha) (/ (+ alpha beta) (+ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (+ (* alpha (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (* 2.0 (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (/ (fma (- beta alpha) (/ (+ beta alpha) (* (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))) (+ (fma (/ -1 i) 2 (/ -1 beta)) (+ alpha 2.0)))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- beta alpha) (/ (+ beta alpha) (* (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))) (+ (fma (/ -1 i) 2 (/ -1 beta)) (+ alpha 2.0)))) 1.0) 2.0))
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-event (λ (alpha beta i) (/ (fma (/ (- beta alpha) (* (fma 2 i (+ beta alpha)) (+ (+ 2.0 alpha) (fma i 2 beta)))) (+ beta alpha) 1.0) 2.0))> #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta)) (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))) 1.0) 2.0))> #<alt-delta (λ (alpha beta i) (/ (+ (* (- (fma i 2 beta) (+ 2.0 alpha)) (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))) 1.0) 2.0))> #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))> #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))> #<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (log1p (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))> #<alt-event (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))> #<alt-delta (λ (alpha beta i) (/ (+ (* (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (cube (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta)))))) 1.0) 2.0))> #<alt-event (λ (alpha beta i) (/ (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (fma (/ (/ (/ 1 alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) alpha (/ (/ (/ beta alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0))> #<alt-delta (λ (alpha beta i) (/ (+ (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) 1.0) 2.0))> #<alt-delta (λ (alpha beta i) (/ (+ (cube (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))) 1.0) 2.0))> #<alt-delta (λ (alpha beta i) (/ (+ (* (- beta alpha) (/ (+ alpha beta) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta))))) 1.0) 2.0))> #<alt-event (λ (alpha beta i) (/ (- (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (fma (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) alpha) (/ (/ (/ (- alpha) alpha) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 2.0))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) +inf.0)) , with alts (#<alt-delta (λ (alpha beta i) (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>)
* [enter]simplify:  Simplifying (/ (fma (/ (- beta alpha) (* (fma 2 i (+ beta alpha)) (+ (+ 2.0 alpha) (fma i 2 beta)))) (+ beta alpha) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (* (fma 2 i (+ beta alpha)) (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ beta alpha) 1.0) 2.0)
* [enter]simplify:  Simplifying (* (- (sqr (/ beta (+ (fma i 2 beta) (+ 2.0 alpha)))) (sqr (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))) (+ alpha beta))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (368 enodes)
* [exit]simplify:  Simplified to (* (fma (+ beta alpha) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ (* (+ beta alpha) beta) (+ (+ alpha 2.0) (fma i 2 beta)))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))
* [exit]simplify:  Simplified to (* (fma (+ beta alpha) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ (* (+ beta alpha) beta) (+ (+ alpha 2.0) (fma i 2 beta)))) (- (/ beta (+ (+ alpha 2.0) (fma i 2 beta))) (/ alpha (+ (+ alpha 2.0) (fma i 2 beta)))))
* [enter]simplify:  Simplifying (* (+ (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (* (+ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (* (+ (/ alpha (+ (+ alpha 2.0) (fma i 2 beta))) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (fma 2 i (+ beta alpha)))
* [enter]simplify:  Simplifying (* (- (/ beta (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (/ alpha (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (260 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha beta) (fma 2 i (+ alpha beta))) (- (/ beta (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (fma i 2 beta) (+ alpha 2.0)))) (/ (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))) (- (fma i 2 beta) (+ alpha 2.0)))))
* [exit]simplify:  Simplified to (* (/ (+ alpha beta) (fma 2 i (+ alpha beta))) (- (/ beta (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (fma i 2 beta) (+ alpha 2.0)))) (/ (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))) (- (fma i 2 beta) (+ alpha 2.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta))))
* [enter]simplify:  Simplifying (/ (+ (fma i 2 beta) (+ 2.0 alpha)) alpha)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha 2.0) (fma i 2 beta)) alpha)
* [exit]simplify:  Simplified to (/ (+ (+ alpha 2.0) (fma i 2 beta)) alpha)
* [enter]simplify:  Simplifying (expm1 (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (10 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 (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* [exit]simplify:  Simplified to (expm1 (/ alpha (+ (fma i 2 beta) (+ alpha 2.0))))
* [enter]simplify:  Simplifying (/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (- (+ (* 4.0 (/ 1 (sqr alpha))) (+ (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (+ 1 (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))))) (+ (* 2.0 (/ 1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* * [misc]simplify:  iters left: 2 (480 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (+ (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ beta (+ (+ alpha 2.0) (fma i 2 beta)))) (+ (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (fma (/ (/ 4.0 alpha) alpha) (fma (/ -1 i) 2 (/ -1 beta)) (/ (/ 4.0 alpha) alpha))) (- 1 (/ 2.0 alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [enter]simplify:  Simplifying (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (cbrt (/ (+ alpha beta) (fma 2 i (+ alpha beta))))
* [enter]simplify:  Simplifying (/ (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ beta (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))))) (fma (/ (/ (/ 1 alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) alpha (/ (/ (/ beta alpha) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))))) 2.0)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* * [misc]simplify:  iters left: 1 (308 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta alpha) (/ beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) (/ beta (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) (fma (/ (/ 1 alpha) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ (/ 1 alpha) 2.0)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))))) alpha (/ (/ beta (fma alpha (fma (/ 1 i) 2 (/ 1 beta)) (fma alpha 2.0 1))) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))))) 2.0)
* [enter]simplify:  Simplifying (+ (/ (* (- beta alpha) (+ beta alpha)) (* (+ (fma i 2 beta) (+ 2.0 alpha)) (fma 2 i (+ beta alpha)))) 1.0)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* [exit]simplify:  Simplified to (fma (/ (+ beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (- beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [exit]simplify:  Simplified to (fma (/ (+ beta alpha) (+ (+ 2.0 alpha) (fma i 2 beta))) (/ (- beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [enter]simplify:  Simplifying (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ alpha beta)) (cbrt (fma 2 i (+ alpha beta)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (cbrt (+ beta alpha)) (cbrt (fma 2 i (+ beta alpha)))))
* [enter]simplify:  Simplifying (+ alpha beta)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ alpha beta)
* [exit]simplify:  Simplified to (+ alpha beta)
* [enter]simplify:  Simplifying (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma 2 i (+ alpha beta)))
* [enter]simplify:  Simplifying (/ (- (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) (fma (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) alpha) (/ (/ (/ (- alpha) alpha) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))))) 2.0)
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (- (fma (/ beta alpha) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta)))))) (fma (/ beta (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) (/ (/ -1 alpha) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (/ (/ (- 1) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))))) 2.0)