* [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 / 2
* * * [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 / 3 ] 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 / 3 ] 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 / 3 ] 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:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 66 ] 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 / 66 ] 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 / 66 ] 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 / 66 ] 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 / 66 ] 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 / 66 ] 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 / 66 ] 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 / 66 ] 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 / 66 ] 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 / 66 ] 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:  [ 11 / 66 ] 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:  [ 12 / 66 ] 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:  [ 13 / 66 ] 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:  [ 14 / 66 ] 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:  [ 15 / 66 ] 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:  [ 16 / 66 ] 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:  [ 17 / 66 ] 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:  [ 18 / 66 ] 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:  [ 19 / 66 ] 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:  [ 20 / 66 ] 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:  [ 21 / 66 ] 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:  [ 22 / 66 ] 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:  [ 23 / 66 ] 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:  [ 24 / 66 ] 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:  [ 25 / 66 ] 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:  [ 26 / 66 ] 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:  [ 27 / 66 ] 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:  [ 28 / 66 ] 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:  [ 29 / 66 ] 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:  [ 30 / 66 ] 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:  [ 31 / 66 ] 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:  [ 32 / 66 ] 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:  [ 33 / 66 ] 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:  [ 34 / 66 ] 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:  [ 35 / 66 ] 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:  [ 36 / 66 ] 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:  [ 37 / 66 ] 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:  [ 38 / 66 ] 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:  [ 39 / 66 ] 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:  [ 40 / 66 ] 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:  [ 41 / 66 ] 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 / 66 ] 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:  [ 43 / 66 ] 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:  [ 44 / 66 ] 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:  [ 45 / 66 ] 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:  [ 46 / 66 ] 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:  [ 47 / 66 ] 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:  [ 48 / 66 ] 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:  [ 49 / 66 ] 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:  [ 50 / 66 ] 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:  [ 51 / 66 ] 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:  [ 52 / 66 ] 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:  [ 53 / 66 ] 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:  [ 54 / 66 ] 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:  [ 55 / 66 ] 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:  [ 56 / 66 ] 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:  [ 57 / 66 ] 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:  [ 58 / 66 ] 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:  [ 59 / 66 ] 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:  [ 60 / 66 ] 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:  [ 61 / 66 ] 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:  [ 62 / 66 ] 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:  [ 63 / 66 ] 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:  [ 64 / 66 ] 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:  [ 65 / 66 ] 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:  [ 66 / 66 ] 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:  adding candidates to table
* * [misc]progress:  iteration 2 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<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))>
* * * [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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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 (* (- beta alpha) (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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 (* (- beta alpha) (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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 (* (- beta alpha) (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (* (- alpha) (/ 1 (+ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (* 1 (/ 1 (+ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (+ (* 1 0) (* 0 (/ 1 (+ 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)) (/ 1 (+ (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)) (/ 1 (+ (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 (/ 1 (+ (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 (/ 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)) (/ 1 (+ (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 (/ 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]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (/ 1 (+ (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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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)) (/ 1 (+ (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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (+ 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 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 (+ (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 (/ 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 0) (* (- (/ 1 alpha)) (/ 1 (+ (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 alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in 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 (/ 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 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 (+ (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 (/ 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)) 0) (* 0 (/ 1 (+ (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]taylor:  Taking 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 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))) (/ 1 (+ (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))) (/ 1 (+ (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 (/ 1 (+ (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]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 (- (+ 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))) (/ 1 (+ (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 (/ 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]taylor:  Taking 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 (- beta)) (/ 1 (- alpha))) (/ 1 (+ (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 (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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))) (/ 1 (+ (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 (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ 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 (- 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 (- (+ 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) 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 0) (* (/ 1 alpha) (/ 1 (- (+ 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 (- 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 (- (+ (* (/ 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 (- 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) 0) (* 0 (/ 1 (- (+ 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 1 2)
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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 (+ (fma i 2 beta) (+ 2.0 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]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))) 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]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))) 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]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 (+ 2.0 (+ (fma i 2 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]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 (/ 1 (+ 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]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 (- (+ (* (/ 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 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 (- (+ (* (/ 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]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]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 (- (+ (* (/ 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]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 (- (+ (* (/ 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]taylor:  Taking 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 (- (+ (* (/ 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)) (sqr (* alpha (* 1 1)))) (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (* alpha (* 1 1))) (/ 1 (+ 2.0 (fma i 2 beta))))) into (- (+ (/ (sqr alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))) (/ 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)))) in (i beta alpha) around 0
* [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]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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 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 (/ 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 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 (/ 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 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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 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 (+ (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 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 (- (+ (* (/ 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]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 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))) 1)))) 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 (- (+ (* (/ 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 (+ (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 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 (- (+ (* (/ 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]taylor:  Taking 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)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (/ (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 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)) (pow (* (/ 1 alpha) (* 1 1)) 3)) (+ (* (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (sqr (* (/ 1 alpha) (* 1 1)))) (* 1 (* (/ 1 alpha) (* 1 1))))) into (- (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (pow alpha 3)) (+ (* 4.0 (/ 1 (pow alpha 3))) (+ (/ 1 alpha) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (pow alpha 3)))))) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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))))) 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]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 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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))))) 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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))))) 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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 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]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 (/ 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 (- (+ 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 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 (- (+ (* (/ 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]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 (- (+ (* (/ 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]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (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))) -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 (- (+ (* (/ 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]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 (- (+ (* (/ 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]taylor:  Taking 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)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -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)))))) (pow (* (/ 1 (- alpha)) (* 1 1)) 3)) (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (sqr (* (/ 1 (- alpha)) (* 1 1)))) (* -1 (* (/ 1 (- alpha)) (* 1 1))))) into (- (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (pow alpha 3)) (+ (* 4.0 (/ 1 (pow alpha 3))) (+ (/ 1 alpha) (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (pow alpha 3)))))) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr 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 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 88 ] 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 / 88 ] 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 / 88 ] 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 / 88 ] 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 / 88 ] 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 / 88 ] 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 / 88 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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) (/ 1 (+ (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 (30 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (53 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 / 88 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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) (/ 1 (+ (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 (33 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (53 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:  [ 9 / 88 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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) (/ 1 (+ (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 (38 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (62 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:  [ 10 / 88 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (* (- beta alpha) (- (+ (/ (sqr alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))) (/ alpha (sqr (+ 2.0 (fma i 2 beta)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ (/ (sqr alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))) (/ alpha (sqr (+ 2.0 (fma i 2 beta)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (420 enodes)
* [exit]simplify:  Simplified to (/ (fma (fma (- (/ (* alpha alpha) (cube (+ (fma i 2 beta) 2.0))) (/ (/ alpha (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0))) (- beta alpha) (/ (- beta alpha) (+ (fma i 2 beta) 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * * * [misc]progress:  [ 11 / 88 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (* (- beta alpha) (- (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (pow alpha 3)) (+ (* 4.0 (/ 1 (pow alpha 3))) (+ (/ 1 alpha) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (pow alpha 3)))))) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (pow alpha 3)) (+ (* 4.0 (/ 1 (pow alpha 3))) (+ (/ 1 alpha) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (pow alpha 3)))))) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha)) (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (fma (/ 4.0 alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha)) (fma (/ (/ 1 alpha) (* alpha alpha)) 4.0 (/ 1 alpha))) (+ (/ (/ 2.0 alpha) alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * * * [misc]progress:  [ 12 / 88 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (fma (* (- beta alpha) (- (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (pow alpha 3)) (+ (* 4.0 (/ 1 (pow alpha 3))) (+ (/ 1 alpha) (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (pow alpha 3)))))) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (pow alpha 3)) (+ (* 4.0 (/ 1 (pow alpha 3))) (+ (/ 1 alpha) (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (pow alpha 3)))))) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (373 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (+ (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) (cube alpha)) (+ (fma (/ -1 i) 2 (/ -1 beta)) 4.0) (- (/ 1 alpha) (/ 2.0 (* alpha alpha)))) (- (/ 4.0 (cube alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha)))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * * * [misc]progress:  [ 13 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log1p (expm1 (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 (expm1 (fma (* (- beta alpha) (/ 1 (+ (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 (35 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 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 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (expm1 (log1p (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 (log1p (fma (* (- beta alpha) (/ 1 (+ (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 (35 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 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 / 88 ] 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 (+ (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 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (264 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (/ (fma 2 i (+ beta alpha)) (+ beta alpha)))
* * * * [misc]progress:  [ 16 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (fma (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 1) 2.0))>
* * * * [misc]progress:  [ 17 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (log (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 (log (fma (* (- beta alpha) (/ 1 (+ (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 (35 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 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 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log (exp (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 (exp (fma (* (- beta alpha) (/ 1 (+ (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 (35 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 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 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (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 (cbrt (fma (* (- beta alpha) (/ 1 (+ (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 (35 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 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 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (cube (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 (cube (fma (* (- beta alpha) (/ 1 (+ (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 (39 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (54 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 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (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 (sqrt (fma (* (- beta alpha) (/ 1 (+ (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 (35 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 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 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* 1 (fma (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0)) 2.0))>
* * * * [misc]progress:  [ 23 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (log1p (expm1 (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (expm1 (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 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 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (expm1 (log1p (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log1p (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 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 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (pow (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 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:  [ 26 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (pow (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) 1) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* * * * [misc]progress:  [ 27 / 88 ] 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 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (+ (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))) (log (- beta alpha)))
* [exit]simplify:  Simplified to (+ (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))) (log (- beta alpha)))
* * * * [misc]progress:  [ 28 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (exp (+ (log (- beta alpha)) (log (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (- (+ (log 1) (log (- beta alpha))) (log (+ (+ 2.0 alpha) (fma i 2 beta))))
* [exit]simplify:  Simplified to (- (+ (log 1) (log (- beta alpha))) (log (+ (+ 2.0 alpha) (fma i 2 beta))))
* * * * [misc]progress:  [ 29 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (exp (log (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (77 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:  [ 30 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (log (exp (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (exp (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (62 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:  [ 31 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (cbrt (* (cube (- beta alpha)) (cube (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (245 enodes)
* * [misc]simplify:  iters left: 1 (496 enodes)
* [exit]simplify:  Simplified to (/ (cube (- beta alpha)) (cube (+ (+ 2.0 alpha) (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (cube (- beta alpha)) (cube (+ (+ 2.0 alpha) (fma i 2 beta))))
* * * * [misc]progress:  [ 32 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (cube (cbrt (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cbrt (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 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:  [ 33 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (cbrt (cube (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cube (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (304 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:  [ 34 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (cube (* (cbrt (- beta alpha)) (cbrt (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1 (+ (+ 2.0 alpha) (fma i 2 beta)))) (cbrt (- beta alpha)))
* [exit]simplify:  Simplified to (* (cbrt (/ 1 (+ (+ 2.0 alpha) (fma i 2 beta)))) (cbrt (- beta alpha)))
* * * * [misc]progress:  [ 35 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (sqr (sqrt (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (sqrt (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 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:  [ 36 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (sqr (* (sqrt (- beta alpha)) (sqrt (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ 1 (+ (+ 2.0 alpha) (fma i 2 beta)))) (sqrt (- beta alpha)))
* [exit]simplify:  Simplified to (* (sqrt (/ 1 (+ (+ 2.0 alpha) (fma i 2 beta)))) (sqrt (- beta alpha)))
* * * * [misc]progress:  [ 37 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (* (- (pow beta 3) (pow alpha 3)) 1) (* (+ (sqr beta) (+ (sqr alpha) (* 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 3) (pow alpha 3)) 1)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (- (cube beta) (cube alpha))
* [exit]simplify:  Simplified to (- (cube beta) (cube alpha))
* [enter]simplify:  Simplifying (* (+ (sqr beta) (+ (sqr alpha) (* beta alpha))) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (314 enodes)
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma alpha (+ beta alpha) (sqr beta)))
* [exit]simplify:  Simplified to (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma alpha (+ beta alpha) (sqr beta)))
* * * * [misc]progress:  [ 38 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (* (- (sqr beta) (sqr alpha)) 1) (* (+ 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) (sqr alpha)) 1)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (* (+ beta alpha) (- beta alpha))
* [exit]simplify:  Simplified to (* (+ beta alpha) (- beta alpha))
* [enter]simplify:  Simplifying (* (+ beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (359 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha))
* [exit]simplify:  Simplified to (* (+ (fma i 2 beta) (+ 2.0 alpha)) (+ beta alpha))
* * * * [misc]progress:  [ 39 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* 1 (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* * * * [misc]progress:  [ 40 / 88 ] 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:  [ 41 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (* (- beta alpha) 1) (/ 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 (8 enodes)
* [exit]simplify:  Simplified to (- beta alpha)
* [exit]simplify:  Simplified to (- beta alpha)
* * * * [misc]progress:  [ 42 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (* (- beta alpha) 1) (/ 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 (8 enodes)
* [exit]simplify:  Simplified to (- beta alpha)
* [exit]simplify:  Simplified to (- beta alpha)
* * * * [misc]progress:  [ 43 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (* (- beta alpha) (/ 1 (- (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) (/ 1 (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (- beta alpha) (- (cube (fma i 2 beta)) (cube (+ alpha 2.0))))
* [exit]simplify:  Simplified to (/ (- beta alpha) (- (cube (fma i 2 beta)) (cube (+ alpha 2.0))))
* * * * [misc]progress:  [ 44 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (* (- beta alpha) (/ 1 (- (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) (/ 1 (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (367 enodes)
* [exit]simplify:  Simplified to (/ (- beta alpha) (* (- (fma i 2 beta) (+ 2.0 alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (- beta alpha) (* (- (fma i 2 beta) (+ 2.0 alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))))
* * * * [misc]progress:  [ 45 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* 1 (* (- 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 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 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:  [ 46 / 88 ] 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 (8 enodes)
* [exit]simplify:  Simplified to (- beta alpha)
* [exit]simplify:  Simplified to (- beta alpha)
* * * * [misc]progress:  [ 47 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (* (- (pow beta 3) (pow alpha 3)) (/ 1 (+ (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 (* (- (pow beta 3) (pow alpha 3)) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta)))
* * * * [misc]progress:  [ 48 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (/ (* (- (sqr beta) (sqr alpha)) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (* (- (sqr beta) (sqr alpha)) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta)))
* * * * [misc]progress:  [ 49 / 88 ] 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))>
* * * * [misc]progress:  [ 50 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 51 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 52 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) (pow (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1) 1.0) 2.0))>
* * * * [misc]progress:  [ 53 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 54 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 55 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 56 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 57 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 58 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 59 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 60 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 61 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 62 / 88 ] 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 (- (+ 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:  [ 63 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 64 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) (* 1 (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0))>
* * * * [misc]progress:  [ 65 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 66 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 67 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 68 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 69 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 70 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (+ (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:  [ 71 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (log1p (expm1 (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (expm1 (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (expm1 (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (expm1 (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* * * * [misc]progress:  [ 72 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (expm1 (log1p (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log1p (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (log1p (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (log1p (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* * * * [misc]progress:  [ 73 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (pow (+ (fma i 2 beta) (+ 2.0 alpha)) -1)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* * * * [misc]progress:  [ 74 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (pow (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))) 1)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* * * * [misc]progress:  [ 75 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (- (log (+ (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 (- (log (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (- (log (+ (+ alpha 2.0) (fma i 2 beta))))
* * * * [misc]progress:  [ 76 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (exp (log (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (log (/ 1 (+ (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 (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (- (log (+ (+ alpha 2.0) (fma i 2 beta))))
* * * * [misc]progress:  [ 77 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (log (exp (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (exp (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (exp (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (exp (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* * * * [misc]progress:  [ 78 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* * * * [misc]progress:  [ 79 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (468 enodes)
* [exit]simplify:  Simplified to (/ 1 (cube (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ 1 (cube (+ (+ alpha 2.0) (fma i 2 beta))))
* * * * [misc]progress:  [ 80 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (sqr (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* * * * [misc]progress:  [ 81 / 88 ] 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)
* * [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 (- (+ (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:  [ 82 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (* 1 (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* * * * [misc]progress:  [ 83 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (* 1 (/ 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:  [ 84 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ 1 (/ (+ (fma i 2 beta) (+ 2.0 alpha)) 1))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 beta) (+ 2.0 alpha)) 1)
* * [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 (/ (+ (+ alpha 2.0) (fma i 2 beta)) 1)
* [exit]simplify:  Simplified to (/ (+ (+ alpha 2.0) (fma i 2 beta)) 1)
* * * * [misc]progress:  [ 85 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ (/ 1 1) (+ (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
* * * * [misc]progress:  [ 86 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (/ (/ 1 1) (+ (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
* * * * [misc]progress:  [ 87 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (* (/ 1 (- (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 (/ 1 (- (pow (fma i 2 beta) 3) (pow (+ 2.0 alpha) 3)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (cube (fma i 2 beta)) (cube (+ alpha 2.0))))
* [exit]simplify:  Simplified to (/ 1 (- (cube (fma i 2 beta)) (cube (+ alpha 2.0))))
* * * * [misc]progress:  [ 88 / 88 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (fma (* (- beta alpha) (* (/ 1 (- (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 (/ 1 (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (208 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (+ (fma i 2 beta) (+ alpha 2.0)) (- (fma i 2 beta) (+ alpha 2.0))))
* [exit]simplify:  Simplified to (/ 1 (* (+ (fma i 2 beta) (+ alpha 2.0)) (- (fma i 2 beta) (+ alpha 2.0))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 10
* [misc]approximate:  Taking taylor expansion of (log (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 (log (fma (/ (- 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 (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]backup-simplify:  Simplify (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (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 (log (fma (/ (- 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 (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]backup-simplify:  Simplify (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (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 (log (fma (/ (- 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 (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]backup-simplify:  Simplify (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (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 (log (fma (/ (- 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 (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]backup-simplify:  Simplify (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (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 (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) in alpha
* [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]backup-simplify:  Simplify (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (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 (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) in i
* [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 (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [misc]backup-simplify:  Simplify (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 1)))) 1) 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 (/ (* (pow (* 1 0) 1)) (pow (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 1)))) 1) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 1)))) 2) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 1)))) 2) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (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 (log (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 (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (log (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 alpha
* [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 alpha
* [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 (log (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 (log (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 (log (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]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 (log (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 (log (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]backup-simplify:  Simplify (log (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 (log (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (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) 1)))) 1) 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 (/ (* (pow (* 1 0) 1)) (pow (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) 1)))) 1) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (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) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (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))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (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) 1)))) 2) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (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))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (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) 1)))) 2) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (log (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 (log (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]approximate:  Taking taylor expansion of (log (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 (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (log (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]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 (log (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 (log (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 (log (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 (log (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (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) 1)))) 1) 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 (/ (* (pow (* 1 0) 1)) (pow (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) 1)))) 1) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (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) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (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))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (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) 1)))) 2) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (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))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (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) 1)))) 2) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (log (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 (log (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 (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]approximate:  Taking taylor expansion of (exp (log (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 (exp (log (fma (/ (- 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 (log (fma (/ (- 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 (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]backup-simplify:  Simplify (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [misc]backup-simplify:  Simplify (exp (log (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 (exp (log (fma (/ (- 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 (log (fma (/ (- 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 (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]backup-simplify:  Simplify (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [misc]backup-simplify:  Simplify (exp (log (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 (exp (log (fma (/ (- 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 (log (fma (/ (- 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 (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]backup-simplify:  Simplify (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [misc]backup-simplify:  Simplify (exp (log (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 (exp (log (fma (/ (- 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 (log (fma (/ (- 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 (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]backup-simplify:  Simplify (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)) into (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))
* [misc]backup-simplify:  Simplify (exp (log (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 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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (fma (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (log (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 (exp (log (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]taylor:  Taking taylor expansion of (log (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]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]backup-simplify:  Simplify (log (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 (log (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]backup-simplify:  Simplify (exp (log (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]taylor:  Taking taylor expansion of (exp (log (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]taylor:  Taking taylor expansion of (log (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]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]backup-simplify:  Simplify (log (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 (log (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]backup-simplify:  Simplify (exp (log (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]taylor:  Taking taylor expansion of (exp (log (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]taylor:  Taking taylor expansion of (log (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]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]backup-simplify:  Simplify (log (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 (log (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]backup-simplify:  Simplify (exp (log (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]taylor:  Taking taylor expansion of (exp (log (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]taylor:  Taking taylor expansion of (log (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]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]backup-simplify:  Simplify (log (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 (log (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]backup-simplify:  Simplify (exp (log (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]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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (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) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (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))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (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))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (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) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (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))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (log (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 (exp (log (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]taylor:  Taking taylor expansion of (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (exp (log (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 (exp (log (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]taylor:  Taking taylor expansion of (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (exp (log (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 (exp (log (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]taylor:  Taking taylor expansion of (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (exp (log (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 (exp (log (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]taylor:  Taking taylor expansion of (log (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]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]backup-simplify:  Simplify (log (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 (log (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 (exp (log (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 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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (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) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (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))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (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))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (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) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (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))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (- 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 2 of 10
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 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 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]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 (/ 1 (+ 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]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [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 (- (+ (* (/ 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]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]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 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 (- (+ (* (/ 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]taylor:  Taking 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 (- (+ (* (/ 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)) (sqr (* alpha (* 1 1)))) (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (* alpha (* 1 1))) (/ 1 (+ 2.0 (fma i 2 beta))))) into (- (+ (/ (sqr alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))) (/ alpha (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 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 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 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (+ 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]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 (- (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (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 into 1
* [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 (- (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (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]taylor:  Taking 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 (+ (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) 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]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 (- (+ (* (/ 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 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (* 0 (/ 0 (+ (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]taylor:  Taking 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 (/ 1 i) 2 (/ 1 beta)))) (sqr (* (/ 1 alpha) (* 1 1)))) (* 1 (* (/ 1 alpha) (* 1 1)))) into (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 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]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 (/ 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 (- (+ 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]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 (- (+ (* (/ 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]taylor:  Taking 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]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 (- (+ (* (/ 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]taylor:  Taking 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 (/ -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))) -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]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 (- (+ (* (/ 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 (- (+ (* (/ 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]taylor:  Taking 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 (/ -1 i) 2 (/ -1 beta)))) (sqr (* (/ 1 (- alpha)) (* 1 1)))) (* -1 (* (/ 1 (- alpha)) (* 1 1)))) into (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (fma (* (- beta alpha) (cbrt (cube (/ 1 (+ (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) (cbrt (cube (/ 1 (+ (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) (cbrt (cube (/ 1 (+ (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) (cbrt (cube (/ 1 (+ (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) (cbrt (cube (/ 1 (+ (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) (cbrt (cube (/ 1 (+ (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) (cbrt (cube (/ 1 (+ (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) (cbrt (cube (/ 1 (+ (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) (cbrt (cube (/ 1 (+ (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)) (cbrt (cube (/ 1 (+ (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)) (cbrt (cube (/ 1 (+ (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)) (cbrt (cube (/ 1 (+ (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)) (cbrt (cube (/ 1 (+ (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)) (cbrt (cube (/ 1 (+ (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)) (cbrt (cube (/ 1 (+ (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)) (cbrt (cube (/ 1 (+ (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)) (cbrt (cube (/ 1 (+ (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)) (cbrt (cube (/ 1 (+ (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))) (cbrt (cube (/ 1 (+ (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))) (cbrt (cube (/ 1 (+ (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))) (cbrt (cube (/ 1 (+ (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))) (cbrt (cube (/ 1 (+ (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))) (cbrt (cube (/ 1 (+ (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))) (cbrt (cube (/ 1 (+ (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))) (cbrt (cube (/ 1 (+ (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))) (cbrt (cube (/ 1 (+ (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))) (cbrt (cube (/ 1 (+ (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]approximate:  Taking taylor expansion of (* (- beta alpha) (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (* (- alpha) (/ 1 (+ 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 (+ (* (- alpha) 0) (* 1 (/ 1 (+ 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 (+ (* (- alpha) 0) (+ (* 1 0) (* 0 (/ 1 (+ 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)) (cbrt (cube (/ 1 (+ (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)) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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))))) 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 0) (* (- (/ 1 alpha)) (/ 1 (+ 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 (/ 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)) 0) (* 0 (/ 1 (+ 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]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)) (* 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 0) (* 0 (/ 1 (+ 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))) (cbrt (cube (/ 1 (+ (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))) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (cbrt (cube (/ 1 (+ (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 (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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)))) 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 (+ (* -1 0) (* (/ 1 alpha) (/ 1 (- (+ 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]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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) 0) (* 0 (/ 1 (- (+ 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 -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 (- 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 0) (* 0 (/ 1 (- (+ 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 (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cube (/ 1 (+ 2.0 (+ (fma i 2 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 (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]approximate:  Taking taylor expansion of (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cube (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cube (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cube (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cube (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cube (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (cube (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cube (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cube (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* * * [misc]progress:  tayloring alt 3 of 10
* [misc]approximate:  Taking taylor expansion of (fma (* (- beta alpha) (exp (- (log (+ (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) (exp (- (log (+ (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) (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (* (- beta alpha) (exp (- (log (+ (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) (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (* (- beta alpha) (exp (- (log (+ (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) (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (* (- beta alpha) (exp (- (log (+ (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) (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]backup-simplify:  Simplify (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- 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 (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]approximate:  Taking taylor expansion of (fma (* (- (/ 1 beta) (/ 1 alpha)) (exp (- (log (+ (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)) (exp (- (log (+ (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)) (exp (- (log (+ (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)) (exp (- (log (+ 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)) (exp (- (log (+ (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)) (exp (- (log (+ (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)) (exp (- (log (+ 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)) (exp (- (log (+ (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)) (exp (- (log (+ (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)) (exp (- (log (+ 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)) (exp (- (log (+ (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)) (exp (- (log (+ (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)) (exp (- (log (+ 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)) (exp (- (log (+ 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)) (exp (- (log (+ 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)) (exp (- (log (+ (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)) (exp (- (log (+ (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)) (exp (- (log (+ (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)) (exp (- (log (+ 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)) (exp (- (log (+ 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)) (exp (- (log (+ (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)) (exp (- (log (+ (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)) (exp (- (log (+ 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))) (exp (- (log (+ (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))) (exp (- (log (+ (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))) (exp (- (log (+ (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)) (exp (- (log (- (+ 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))) (exp (- (log (+ (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))) (exp (- (log (+ (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)) (exp (- (log (- (+ 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))) (exp (- (log (+ (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))) (exp (- (log (+ (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)) (exp (- (log (- (+ 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))) (exp (- (log (+ (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))) (exp (- (log (+ (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)) (exp (- (log (- (+ 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)) (exp (- (log (- (+ 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)) (exp (- (log (- (+ 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)) (exp (- (log (- (+ 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)) (exp (- (log (- (+ 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)) (exp (- (log (- (+ 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)) (exp (- (log (- (+ 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)) (exp (- (log (- (+ 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)) (exp (- (log (- (+ 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)) (exp (- (log (- (+ 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)) (exp (- (log (- (+ 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 (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ (fma i 2 beta) (+ 2.0 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]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 (log (+ 2.0 (fma i 2 beta))) into (log (+ 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 (- (log (+ 2.0 (fma i 2 beta)))) into (- (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (fma i 2 beta))))) into (exp (- (log (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (+ (fma i 2 beta) (+ 2.0 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]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 (log (+ 2.0 (+ (fma i 2 beta) alpha))) into (log (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) into (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (log (+ (fma i 2 beta) (+ 2.0 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]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 (log (+ 2.0 (+ (fma i 2 beta) alpha))) into (log (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) into (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (log (+ (fma i 2 beta) (+ 2.0 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]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 (log (+ 2.0 (+ (fma i 2 beta) alpha))) into (log (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) into (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (+ 2.0 (+ (fma i 2 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]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 (log (+ 2.0 (+ (fma i 2 beta) alpha))) into (log (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) into (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ 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 (log (+ 2.0 (fma i 2 beta))) into (log (+ 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 (- (log (+ 2.0 (fma i 2 beta)))) into (- (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (fma i 2 beta))))) into (exp (- (log (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (fma i 2 beta))))) into (exp (- (log (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 2.0 (+ (fma i 2 beta) alpha)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ (* (/ (pow 0 1) 1)))) 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 (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 2.0 (+ (fma i 2 beta) alpha)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (fma i 2 beta)))) into (- (log (+ 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 (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ 2.0 (fma i 2 beta)) 1)))) 1) 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 (* (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ (* (/ (pow (- (/ 1 (+ 2.0 (fma i 2 beta)))) 1) 1)))) into (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta)))) into (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 2.0 (+ (fma i 2 beta) alpha)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2.0 (+ (fma i 2 beta) alpha)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 2.0 (+ (fma i 2 beta) alpha)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2.0 (+ (fma i 2 beta) alpha)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (fma i 2 beta)))) into (- (log (+ 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ 2.0 (fma i 2 beta)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2.0 (fma i 2 beta)) 1)))) 2) into (/ -1/2 (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ -1/2 (sqr (+ 2.0 (fma i 2 beta))))) into (* 1/2 (/ 1 (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ (* (/ (pow (- (/ 1 (+ 2.0 (fma i 2 beta)))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) 1) 1)))) into (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (sqr (+ 2.0 (fma i 2 beta)))) into (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ (* (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (sqr (+ 2.0 (fma i 2 beta)))) (sqr (* alpha (* 1 1)))) (+ (* (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta)))) (* alpha (* 1 1))) (exp (- (log (+ 2.0 (fma i 2 beta))))))) into (- (+ (/ (* (sqr alpha) (exp (- (log (+ 2.0 (fma i 2 beta)))))) (sqr (+ 2.0 (fma i 2 beta)))) (exp (- (log (+ 2.0 (fma i 2 beta)))))) (/ (* alpha (exp (- (log (+ 2.0 (fma i 2 beta)))))) (+ 2.0 (fma i 2 beta))))
* [misc]approximate:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ (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 (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log alpha)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log alpha)
* [misc]backup-simplify:  Simplify (exp (log alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (log (+ (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 (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (log (+ (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 (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ (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 (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log alpha)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log alpha)
* [misc]backup-simplify:  Simplify (exp (log alpha)) into alpha
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (/ (* (pow (* 1 0) 1)) (pow (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* (/ (pow 0 1) 1)))) 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 (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (/ (* (pow (* 1 0) 1)) (pow (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log 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 (/ (* (pow (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) 1)) (pow 1 1)))) 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 (* (exp (log alpha)) (+ (* (/ (pow (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) 1) 1)))) into (* -1 (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) alpha))
* [misc]backup-simplify:  Simplify (* -1 (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) alpha)) into (* -1 (* alpha (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 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 (/ (* (pow (* 1 0) 2)) (pow (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 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 (/ (* (pow (* 1 0) 2)) (pow (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log 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)) (* 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 (/ (* (pow (* 1 (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (- (* -1/2 (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))))) into (+ 2.0 (+ (* 1/2 (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 2.0 (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (* (exp (log alpha)) (+ (* (/ (pow (- (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))) 2) 2)) (* (/ (pow (+ 2.0 (+ (* 1/2 (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 2.0 (fma (/ 1 i) 2 (/ 1 beta))))) 1) 1)))) into (* alpha (+ (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))) (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)))
* [misc]backup-simplify:  Simplify (* alpha (+ (* 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))))) alpha)
* [misc]backup-simplify:  Simplify (+ (* (* (+ 4.0 (+ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (* 4.0 (fma (/ 1 i) 2 (/ 1 beta))))) alpha) (sqr (* (/ 1 alpha) (* 1 1)))) (+ (* (* -1 (* alpha (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))) (* (/ 1 alpha) (* 1 1))) alpha)) into (- (+ alpha (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ (* 4.0 (/ 1 alpha)) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))))) (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]approximate:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ (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]taylor:  Taking 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 (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (exp (- (log alpha) (log -1))) into (exp (- (log alpha) (log -1)))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (log (+ (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]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 (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (log (+ (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]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 (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (- (+ 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))) (/ 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]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 (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (- (+ 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 (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (exp (- (log alpha) (log -1))) into (exp (- (log alpha) (log -1)))
* [misc]backup-simplify:  Simplify (exp (- (log alpha) (log -1))) into (exp (- (log alpha) (log -1)))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ (pow 0 1) 1)))) 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 (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [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 (/ (* (pow (* 1 (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) 1)) (pow -1 1)))) 1) into (* -1 (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (- (* -1 (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (exp (- (log alpha) (log -1))) (+ (* (/ (pow (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 1) 1)))) into (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (exp (- (log alpha) (log -1))))
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (exp (- (log alpha) (log -1)))) into (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (exp (- (log alpha) (log -1))))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (- (* -1 (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [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 (/ (* (pow (* 1 (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (* -1/2 (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))
* [misc]backup-simplify:  Simplify (- (* -1/2 (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))) into (+ 2.0 (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (* 1/2 (sqr (fma (/ -1 i) 2 (/ -1 beta))))))
* [misc]backup-simplify:  Simplify (* (exp (- (log alpha) (log -1))) (+ (* (/ (pow (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 2) 2)) (* (/ (pow (+ 2.0 (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (* 1/2 (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) 1) 1)))) into (* (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (exp (- (log alpha) (log -1))))
* [misc]backup-simplify:  Simplify (* (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (exp (- (log alpha) (log -1)))) into (* (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (exp (- (log alpha) (log -1))))
* [misc]backup-simplify:  Simplify (+ (* (* (+ 4.0 (+ (* 4.0 (fma (/ -1 i) 2 (/ -1 beta))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (exp (- (log alpha) (log -1)))) (sqr (* (/ 1 (- alpha)) (* 1 1)))) (+ (* (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (exp (- (log alpha) (log -1)))) (* (/ 1 (- alpha)) (* 1 1))) (exp (- (log alpha) (log -1))))) into (- (+ (* 4.0 (/ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) (+ (exp (- (log alpha) (log -1))) (+ (/ (* (exp (- (log alpha) (log -1))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (sqr alpha)) (* 4.0 (/ (exp (- (log alpha) (log -1))) (sqr alpha)))))) (+ (/ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) alpha) (* 2.0 (/ (exp (- (log alpha) (log -1))) alpha))))
* [misc]approximate:  Taking taylor expansion of (* (- beta alpha) (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (exp (- (log (+ (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 (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (log (+ (fma i 2 beta) (+ 2.0 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]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 (log (+ 2.0 (+ (fma i 2 beta) alpha))) into (log (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) into (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (exp (- (log (+ (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 (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ (fma i 2 beta) (+ 2.0 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]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 (log (+ 2.0 (fma i 2 beta))) into (log (+ 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 (- (log (+ 2.0 (fma i 2 beta)))) into (- (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (fma i 2 beta))))) into (exp (- (log (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (exp (- (log (+ (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 (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (+ (fma i 2 beta) (+ 2.0 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]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 (log (+ 2.0 (+ (fma i 2 beta) alpha))) into (log (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) into (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (exp (- (log (+ (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 (exp (- (log (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (log (+ (fma i 2 beta) (+ 2.0 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]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 (log (+ 2.0 (+ (fma i 2 beta) alpha))) into (log (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) into (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (* (- alpha) (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))))) into (* -1 (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha))
* [misc]taylor:  Taking taylor expansion of (* -1 (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) 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 (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ 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 (log (+ 2.0 (fma i 2 beta))) into (log (+ 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 (- (log (+ 2.0 (fma i 2 beta)))) into (- (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (fma i 2 beta))))) into (exp (- (log (+ 2.0 (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 (* (exp (- (log (+ 2.0 (fma i 2 beta))))) 0) into 0
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 2.0 (+ (fma i 2 beta) alpha)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (* 1 (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))))) into (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ 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 (log (+ 2.0 (fma i 2 beta))) into (log (+ 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 (- (log (+ 2.0 (fma i 2 beta)))) into (- (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (fma i 2 beta))))) into (exp (- (log (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ 2.0 (fma i 2 beta)))) in i
* [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 (- (log (+ 2.0 (fma i 2 beta)))) into (- (log (+ 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 (exp (- (log (+ 2.0 (fma i 2 beta))))) into (exp (- (log (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (fma i 2 beta))))) into (exp (- (log (+ 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ 2.0 (fma i 2 beta)) 1)))) 1) 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 (* (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ (* (/ (pow (- (/ 1 (+ 2.0 (fma i 2 beta)))) 1) 1)))) into (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ (* (exp (- (log (+ 2.0 (fma i 2 beta))))) 1) (* (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta)))) 0)) into (exp (- (log (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (exp (- (log (+ 2.0 (fma i 2 beta)))))) (* 0 0)) into (- (exp (- (log (+ 2.0 (fma i 2 beta))))))
* [misc]taylor:  Taking taylor expansion of (- (exp (- (log (+ 2.0 (fma i 2 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ 2.0 (fma i 2 beta)))) in i
* [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 (- (log (+ 2.0 (fma i 2 beta)))) into (- (log (+ 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 (exp (- (log (+ 2.0 (fma i 2 beta))))) into (exp (- (log (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (exp (- (log (+ 2.0 (fma i 2 beta)))))) into (- (exp (- (log (+ 2.0 (fma i 2 beta))))))
* [misc]backup-simplify:  Simplify (- (exp (- (log (+ 2.0 (fma i 2 beta)))))) into (- (exp (- (log (+ 2.0 (fma i 2 beta))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log (+ 2.0 (+ (fma i 2 beta) alpha)))) into (- (log (+ 2.0 (+ (fma i 2 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 2.0 (+ (fma i 2 beta) alpha)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2.0 (+ (fma i 2 beta) alpha)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (- (log (+ 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 (- (log (+ 2.0 (fma i 2 beta)))) into (- (log (+ 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 (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ 2.0 (fma i 2 beta)) 1)))) 1) 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 (* (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ (* (/ (pow (- (/ 1 (+ 2.0 (fma i 2 beta)))) 1) 1)))) into (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 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 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ 2.0 (fma i 2 beta)))) in i
* [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 (- (log (+ 2.0 (fma i 2 beta)))) into (- (log (+ 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 (exp (- (log (+ 2.0 (fma i 2 beta))))) into (exp (- (log (+ 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]backup-simplify:  Simplify (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta))) into (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta)))) into (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta)))) into (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (exp (- (log (+ 2.0 (fma i 2 beta))))) (+ 2.0 (fma i 2 beta)))) (* 1 (* alpha beta))) (+ (* (- (exp (- (log (+ 2.0 (fma i 2 beta)))))) (* 1 (* alpha 1))) (* (exp (- (log (+ 2.0 (fma i 2 beta))))) (* 1 (* 1 beta))))) into (- (* beta (exp (- (log (+ 2.0 (fma i 2 beta)))))) (+ (* alpha (exp (- (log (+ 2.0 (fma i 2 beta)))))) (/ (* beta (* alpha (exp (- (log (+ 2.0 (fma i 2 beta))))))) (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (exp (- (log (+ (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)) (exp (- (log (+ (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 (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (log (+ (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 (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (exp (- (log (+ (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 (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ (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 (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log alpha)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log alpha)
* [misc]backup-simplify:  Simplify (exp (log alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (exp (- (log (+ (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 (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (exp (- (log (+ (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 (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))) into (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ 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 (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log alpha)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log alpha)
* [misc]backup-simplify:  Simplify (exp (log alpha)) into alpha
* [misc]backup-simplify:  Simplify (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (/ (* (pow (* 1 0) 1)) (pow (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [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 0) (* (- (/ 1 alpha)) (exp (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))))) into (- (/ (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) alpha))
* [misc]taylor:  Taking taylor expansion of (- (/ (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ 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 (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log alpha)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log alpha)
* [misc]backup-simplify:  Simplify (exp (log alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ alpha 1) into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [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]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 (- (log (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 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 (/ (* (pow (* 1 0) 2)) (pow (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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)) 0) (* 0 (exp (- (log (+ (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) (log alpha)) 0) into (- (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log alpha))) into (log 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 (/ (* (pow (* 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) 1)) (pow 1 1)))) 1) 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 (* (exp (log alpha)) (+ (* (/ (pow (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) 1) 1)))) into (* -1 (* alpha (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (/ (* -1 (* alpha (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))) 1) (+ (* alpha (/ 0 1)))) into (- (+ (* 2.0 alpha) (* (fma (/ 1 i) 2 (/ 1 beta)) alpha)))
* [misc]backup-simplify:  Simplify (- (- (+ (* 2.0 alpha) (* (fma (/ 1 i) 2 (/ 1 beta)) alpha)))) into (+ (* 2.0 alpha) (* (fma (/ 1 i) 2 (/ 1 beta)) alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 alpha) (* (fma (/ 1 i) 2 (/ 1 beta)) 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]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 (* 2.0 alpha) into (* 2.0 alpha)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) alpha) into (* (fma (/ 1 i) 2 (/ 1 beta)) alpha)
* [misc]backup-simplify:  Simplify (+ (* 2.0 alpha) (* (fma (/ 1 i) 2 (/ 1 beta)) alpha)) into (+ (* 2.0 alpha) (* (fma (/ 1 i) 2 (/ 1 beta)) alpha))
* [misc]backup-simplify:  Simplify (+ (* 2.0 alpha) (* (fma (/ 1 i) 2 (/ 1 beta)) alpha)) into (+ (* 2.0 alpha) (* (fma (/ 1 i) 2 (/ 1 beta)) alpha))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 alpha) (* (fma (/ 1 i) 2 (/ 1 beta)) alpha)) (+ (* alpha (* 1 (* 1 (/ 1 (/ 1 beta))))) (* (- alpha) (* 1 (* (/ 1 (/ 1 alpha)) 1))))) into (- (+ (* beta alpha) (+ (* 2.0 alpha) (* (fma (/ 1 i) 2 (/ 1 beta)) alpha))) (sqr alpha))
* [misc]approximate:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (exp (- (log (+ (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))) (exp (- (log (+ (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 (exp (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (log (+ (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]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 (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (exp (- (log (+ (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 (exp (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (+ (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]taylor:  Taking 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 (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (exp (- (log alpha) (log -1))) into (exp (- (log alpha) (log -1)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (exp (- (log (+ (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 (exp (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (exp (- (log (+ (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 (exp (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (log (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (* -1 (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* -1 (exp (- (log (- (+ 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 (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (- (+ 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 (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (exp (- (log alpha) (log -1))) into (exp (- (log alpha) (log -1)))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 alpha) (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))))) into (/ (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) alpha)
* [misc]taylor:  Taking taylor expansion of (/ (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log (- (+ 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 (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (exp (- (log alpha) (log -1))) into (exp (- (log alpha) (log -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 (/ (exp (- (log alpha) (log -1))) 1) into (exp (- (log alpha) (log -1)))
* [misc]taylor:  Taking taylor expansion of (exp (- (log alpha) (log -1))) in i
* [misc]taylor:  Taking taylor expansion of (- (log alpha) (log -1)) in i
* [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]taylor:  Taking taylor expansion of (log -1) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (- (log -1)) into (- (log -1))
* [misc]backup-simplify:  Simplify (+ (log alpha) (- (log -1))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (exp (- (log alpha) (log -1))) into (exp (- (log alpha) (log -1)))
* [misc]backup-simplify:  Simplify (exp (- (log alpha) (log -1))) into (exp (- (log alpha) (log -1)))
* [misc]backup-simplify:  Simplify (* -1 (exp (- (log alpha) (log -1)))) into (* -1 (exp (- (log alpha) (log -1))))
* [misc]taylor:  Taking taylor expansion of (* -1 (exp (- (log alpha) (log -1)))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (exp (- (log alpha) (log -1))) in i
* [misc]taylor:  Taking taylor expansion of (- (log alpha) (log -1)) in i
* [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]taylor:  Taking taylor expansion of (log -1) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (- (log -1)) into (- (log -1))
* [misc]backup-simplify:  Simplify (+ (log alpha) (- (log -1))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (exp (- (log alpha) (log -1))) into (exp (- (log alpha) (log -1)))
* [misc]backup-simplify:  Simplify (* -1 (exp (- (log alpha) (log -1)))) into (* -1 (exp (- (log alpha) (log -1))))
* [misc]backup-simplify:  Simplify (* -1 (exp (- (log alpha) (log -1)))) into (* -1 (exp (- (log alpha) (log -1))))
* [misc]backup-simplify:  Simplify (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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) 0) (* 0 (exp (- (log (- (+ 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) (log alpha)) (log -1)) into (- (log -1) (log alpha))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log alpha))) into (- (log alpha) (log -1))
* [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 (/ (* (pow (* 1 (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) 1)) (pow -1 1)))) 1) into (* -1 (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (- (* -1 (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))) into (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (exp (- (log alpha) (log -1))) (+ (* (/ (pow (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 1) 1)))) into (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (exp (- (log alpha) (log -1))))
* [misc]backup-simplify:  Simplify (- (/ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (exp (- (log alpha) (log -1)))) 1) (+ (* (exp (- (log alpha) (log -1))) (/ 0 1)))) into (+ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (exp (- (log alpha) (log -1)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (exp (- (log alpha) (log -1))))) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (exp (- (log alpha) (log -1))) in i
* [misc]taylor:  Taking taylor expansion of (- (log alpha) (log -1)) in i
* [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]taylor:  Taking taylor expansion of (log -1) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (- (log -1)) into (- (log -1))
* [misc]backup-simplify:  Simplify (+ (log alpha) (- (log -1))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (exp (- (log alpha) (log -1))) into (exp (- (log alpha) (log -1)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in 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 (exp (- (log alpha) (log -1)))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (exp (- (log alpha) (log -1))) in i
* [misc]taylor:  Taking taylor expansion of (- (log alpha) (log -1)) in i
* [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]taylor:  Taking taylor expansion of (log -1) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (- (log -1)) into (- (log -1))
* [misc]backup-simplify:  Simplify (+ (log alpha) (- (log -1))) into (- (log alpha) (log -1))
* [misc]backup-simplify:  Simplify (exp (- (log alpha) (log -1))) into (exp (- (log alpha) (log -1)))
* [misc]backup-simplify:  Simplify (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) into (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 2.0 (exp (- (log alpha) (log -1)))) into (* 2.0 (exp (- (log alpha) (log -1))))
* [misc]backup-simplify:  Simplify (+ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (exp (- (log alpha) (log -1))))) into (+ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (exp (- (log alpha) (log -1)))))
* [misc]backup-simplify:  Simplify (+ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (exp (- (log alpha) (log -1))))) into (+ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (exp (- (log alpha) (log -1)))))
* [misc]backup-simplify:  Simplify (+ (+ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (exp (- (log alpha) (log -1))))) (+ (* (* -1 (exp (- (log alpha) (log -1)))) (* 1 (* 1 (/ 1 (/ 1 (- beta)))))) (* (exp (- (log alpha) (log -1))) (* 1 (* (/ 1 (/ 1 (- alpha))) 1))))) into (- (+ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) (+ (* 2.0 (exp (- (log alpha) (log -1)))) (* (exp (- (log alpha) (log -1))) beta))) (* (exp (- (log alpha) (log -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 4 of 10
* [misc]approximate:  Taking taylor expansion of (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (* alpha alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* alpha 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 alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 2.0 alpha) (fma i 2 beta)) 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]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 (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (- (sqr alpha)) into (- (sqr alpha))
* [misc]backup-simplify:  Simplify (+ (sqr beta) (- (sqr alpha))) into (- (sqr beta) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) 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 (/ (- (sqr beta) (sqr alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (/ (- (sqr beta) (sqr alpha)) (+ 2.0 (+ alpha (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (* alpha alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* alpha alpha) in alpha
* [misc]taylor:  Taking taylor expansion 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]taylor:  Taking taylor expansion of (+ (+ 2.0 alpha) (fma i 2 beta)) 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]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]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr beta) 0) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ 2.0 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 (/ (sqr beta) (+ 2.0 (fma i 2 beta))) into (/ (sqr beta) (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (* 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 (* alpha 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 alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 2.0 alpha) (fma i 2 beta)) 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]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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (- (sqr alpha)) into (- (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr alpha))) into (- (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) 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 (/ (- (sqr alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (* 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 (* alpha 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 alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 2.0 alpha) (fma i 2 beta)) 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]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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (- (sqr alpha)) into (- (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr alpha))) into (- (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) 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 (/ (- (sqr alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 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) (+ 2.0 (+ 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 (+ 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]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 (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ alpha (fma i 2 beta)))) (+ (* (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ 2.0 (+ alpha (fma i 2 beta)))) (+ (* (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))) (* 0 (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))))) into (/ 1 (+ 2.0 (+ alpha (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (+ alpha (fma i 2 beta)))) 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]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 (/ 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]taylor:  Taking 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)))) 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) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ alpha (fma i 2 beta)))) (+ (* (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))) (* 0 (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))) (* (/ 1 (+ 2.0 (+ alpha (fma i 2 beta)))) (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in 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 (- (+ (* (/ 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 (sqr beta)))) (+ (* (/ -1 (+ 2.0 (fma i 2 beta))) (sqr (* 1 (* alpha 1)))) (* (/ 1 (+ 2.0 (fma i 2 beta))) (sqr (* 1 (* 1 beta)))))) into (- (/ (sqr beta) (+ 2.0 (fma i 2 beta))) (+ (/ (* (sqr beta) alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (sqr alpha) (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 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 (/ 1 alpha) in i
* [misc]taylor:  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 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) 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)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr alpha))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (/ 1 (sqr alpha)))) into (- (/ 1 (sqr beta)) (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) 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 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 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 (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) 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)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 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 (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) 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)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (+ (+ 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 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 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 (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) 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)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (+ (+ 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 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (+ 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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr alpha))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (sqr alpha)))) 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 (- (/ (- (/ 1 (sqr alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (* 0 (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (- (/ 1 (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in 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 (- (+ (* 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 (- (+ (* 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 (/ 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 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (+ (* (/ 1 alpha) 0) (* 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 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (* 0 (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (* (- (/ 1 (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ 0 (+ (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 (- (+ (* 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 (* (/ 1 alpha) (/ 1 (sqr (/ 1 beta)))))) (* -1 (* 1 (* (/ 1 (/ 1 alpha)) 1))))) into (- (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ (sqr beta) alpha))) alpha)
* [misc]approximate:  Taking taylor expansion of (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 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 (/ 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 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) 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]taylor:  Taking taylor expansion of (fma (/ 1 (- 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 (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr alpha))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (/ 1 (sqr alpha)))) into (- (/ 1 (sqr beta)) (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) 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 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 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 (/ 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 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) 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]taylor:  Taking taylor expansion of (fma (/ 1 (- 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 (* -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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 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 (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) 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 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) 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]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 (* -1 -1) into 1
* [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 (+ (- 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 (/ 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 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 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 (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) 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 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) 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]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 (* -1 -1) into 1
* [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 (+ (- 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 (/ 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 (- (+ 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 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 (- (+ (* (/ -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]taylor:  Taking 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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr alpha))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (sqr alpha)))) 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 (- (/ (- (/ 1 (sqr 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)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (sqr alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (sqr alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (sqr 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 (* 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 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) 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 1) (+ (* (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) 0) (* 0 0))) 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 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) 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 (+ (* (/ -1 alpha) 0) (* 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) 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)))) (* (- (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (sqr 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 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))) 1) (+ (* 0 0) (* 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]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 i
* [misc]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))) (+ (* -1 (* 1 (* (/ 1 (- alpha)) (/ 1 (sqr (/ 1 (- beta))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- alpha))) 1))))) into (- (+ 2.0 (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ (sqr beta) alpha))) alpha)
* [misc]approximate:  Taking taylor expansion of (fma (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ 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 (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]approximate:  Taking taylor expansion of (fma (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 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 (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 i
* [misc]backup-simplify:  Simplify (fma (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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]backup-simplify:  Simplify (fma (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 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 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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]approximate:  Taking taylor expansion of (fma (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 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 (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (* -1 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 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 (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (* -1 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 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 (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (* -1 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 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 (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (* -1 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 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 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 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 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (* -1 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 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 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 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 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (* -1 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 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 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (* -1 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 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 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (* -1 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 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 beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (* alpha alpha)) in i
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* alpha 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 alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 2.0 alpha) (fma i 2 beta)) 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]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 (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (- (sqr alpha)) into (- (sqr alpha))
* [misc]backup-simplify:  Simplify (+ (sqr beta) (- (sqr alpha))) into (- (sqr beta) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) 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 (/ (- (sqr beta) (sqr alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (/ (- (sqr beta) (sqr alpha)) (+ 2.0 (+ alpha (fma i 2 beta))))
* [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]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (/ (- (sqr beta) (sqr alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) (+ beta alpha)) into (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (* alpha alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* alpha alpha) in alpha
* [misc]taylor:  Taking taylor expansion 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]taylor:  Taking taylor expansion of (+ (+ 2.0 alpha) (fma i 2 beta)) 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]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]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr beta) 0) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ 2.0 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 (/ (sqr beta) (+ 2.0 (fma i 2 beta))) into (/ (sqr beta) (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ (/ (sqr beta) (+ 2.0 (fma i 2 beta))) beta) into (/ beta (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (* 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 (* alpha 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 alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 2.0 alpha) (fma i 2 beta)) 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]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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (- (sqr alpha)) into (- (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr alpha))) into (- (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) 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 (/ (- (sqr alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) alpha) into (* -1 (/ alpha (+ 2.0 (+ alpha (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr beta) (* alpha alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (* 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 (* alpha 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 alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 2.0 alpha) (fma i 2 beta)) 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]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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (- (sqr alpha)) into (- (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr alpha))) into (- (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 alpha) 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 (/ (- (sqr alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) alpha) into (* -1 (/ alpha (+ 2.0 (+ alpha (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ alpha (+ 2.0 (+ alpha (fma i 2 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 (/ alpha (+ 2.0 (+ 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 (+ 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]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 (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (+ alpha (fma i 2 beta)))) (+ (* (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 alpha) (+ (* (* -1 (/ alpha (+ 2.0 (+ alpha (fma i 2 beta))))) (/ 1 alpha)))) into (/ 1 (+ 2.0 (+ alpha (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (+ alpha (fma i 2 beta)))) 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]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 (/ 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 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ 2.0 (+ alpha (fma i 2 beta)))) (+ (* (* -1 (/ (sqr alpha) (+ 2.0 (+ alpha (fma i 2 beta))))) (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))) (* 0 (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))))) into (/ 1 (+ 2.0 (+ alpha (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (+ 2.0 (+ alpha (fma i 2 beta)))) alpha) (+ (* (* -1 (/ alpha (+ 2.0 (+ alpha (fma i 2 beta))))) (/ 0 alpha)) (* (/ 1 (+ 2.0 (+ alpha (fma i 2 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) 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 (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 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 (/ 1 alpha) in i
* [misc]taylor:  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 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) 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)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr alpha))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (/ 1 (sqr alpha)))) into (- (/ 1 (sqr beta)) (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) 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 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 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]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 alpha)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (/ 1 beta) (/ 1 alpha))) into (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 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 (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) 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)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [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 (+ 1 0) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 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 (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) 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)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (+ (+ 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 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 1) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) (+ (+ 2.0 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 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 (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 beta))) 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)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (+ (+ 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 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 1) 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 0) (* 0 1)) 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 (- (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) 1)))) 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 alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in 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 (/ 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr alpha))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (sqr alpha)))) 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 (- (/ (- (/ 1 (sqr alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (* 0 (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into (- (/ 1 (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (* (sqr alpha) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) 1) (+ (* (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ 0 1)) (* (- (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) (/ (/ 1 alpha) 1)))) 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 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 (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 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 (/ 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 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) 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]taylor:  Taking taylor expansion of (fma (/ 1 (- 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 (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr alpha))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (/ 1 (sqr alpha)))) into (- (/ 1 (sqr beta)) (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) 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 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 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]backup-simplify:  Simplify (+ (/ -1 beta) (/ -1 alpha)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (- (+ (/ 1 beta) (/ 1 alpha)))) into (* -1 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 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 (/ 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 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) 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]taylor:  Taking taylor expansion of (fma (/ 1 (- 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 (* -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 (+ -1 0) 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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 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 (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) 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 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) 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]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 (* -1 -1) into 1
* [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 (+ (- 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 (/ 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))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) -1) into (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) (+ (+ 2.0 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 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 (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) 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 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) 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]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 (* -1 -1) into 1
* [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 (+ (- 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 (/ 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))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) -1) 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 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 (- (+ (* (/ -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) 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 -1) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ (- (/ 1 alpha)) -1)))) 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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr alpha))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (sqr alpha)))) 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 (- (/ (- (/ 1 (sqr 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)))) (* 0 (/ 0 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into (- (/ 1 (* (- (+ 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 (- (+ (* (/ -1 alpha) (/ 0 (- 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)) (sqr alpha)))) -1) (+ (* (/ -1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ 0 -1)) (* (/ 1 (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ (- (/ 1 alpha)) -1)))) 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 (- (sqr beta) (* alpha alpha)) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (* alpha alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* alpha alpha) in alpha
* [misc]taylor:  Taking taylor expansion 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]taylor:  Taking taylor expansion of (- (sqr beta) (* 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 (* alpha 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 alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (* 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 (* alpha 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 alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (- (sqr alpha)) into (- (sqr alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr alpha))) into (- (sqr alpha))
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 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 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (* 0 alpha))) 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 alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (+ (* -1 (sqr (* alpha 1))) (* 1 (sqr (* 1 beta)))) into (- (sqr beta) (sqr alpha))
* [misc]approximate:  Taking taylor expansion of (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 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 (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 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 (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 beta)) (* (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 alpha) (/ 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 (/ 1 alpha) in beta
* [misc]taylor:  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) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr alpha))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (sqr alpha)))) into (- (/ 1 (sqr alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr 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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (+ (* (/ 1 alpha) 0) (* 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (+ (* (/ 1 alpha) 0) (+ (* 0 0) (* 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 beta))))) (* -1 (sqr (* (/ 1 (/ 1 alpha)) 1)))) into (- (sqr beta) (sqr alpha))
* [misc]approximate:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 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 (/ 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 (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 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 (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) 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 (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- alpha)) (/ 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 (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) 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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr alpha))) into (- (/ 1 (sqr alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (sqr alpha)))) into (- (/ 1 (sqr alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr 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]backup-simplify:  Simplify (- 1) into -1
* [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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) 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 (+ (* (/ -1 alpha) 0) (* 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 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 (- 0) into 0
* [misc]backup-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)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 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) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- beta)))))) (* -1 (sqr (* (/ 1 (/ 1 (- alpha))) 1)))) into (- (sqr beta) (sqr alpha))
* * * [misc]progress:  tayloring alt 5 of 10
* [misc]approximate:  Taking taylor expansion of (fma (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (log1p (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]backup-simplify:  Simplify (fma (log1p (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (log1p (expm1 (/ (- 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (log1p (expm1 (/ (- (/ 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 (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha)))) into (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (expm1 (/ (- 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 (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha)))) into (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]approximate:  Taking taylor expansion of (expm1 (/ (- (/ 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 (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (expm1 (/ (- (/ 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 (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (expm1 (/ (- (/ 1 beta) (/ 1 alpha)) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (expm1 (/ (- (/ 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 (expm1 (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (expm1 (/ (- (/ 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 (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 2.0 (fma (/ -1 i) 2 (/ -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) (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 6 of 10
* [misc]approximate:  Taking taylor expansion of (fma (* (- beta alpha) (sqr (sqrt (/ 1 (+ (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) (sqr (sqrt (/ 1 (+ (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) (sqr (sqrt (/ 1 (+ (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) (sqr (sqrt (/ 1 (+ (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) (sqr (sqrt (/ 1 (+ (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) (sqr (sqrt (/ 1 (+ (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) (sqr (sqrt (/ 1 (+ (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) (sqr (sqrt (/ 1 (+ (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) (sqr (sqrt (/ 1 (+ (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)) (sqr (sqrt (/ 1 (+ (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)) (sqr (sqrt (/ 1 (+ (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)) (sqr (sqrt (/ 1 (+ (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)) (sqr (sqrt (/ 1 (+ (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)) (sqr (sqrt (/ 1 (+ (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)) (sqr (sqrt (/ 1 (+ (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)) (sqr (sqrt (/ 1 (+ (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)) (sqr (sqrt (/ 1 (+ (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)) (sqr (sqrt (/ 1 (+ (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))) (sqr (sqrt (/ 1 (+ (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))) (sqr (sqrt (/ 1 (+ (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))) (sqr (sqrt (/ 1 (+ (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))) (sqr (sqrt (/ 1 (+ (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))) (sqr (sqrt (/ 1 (+ (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))) (sqr (sqrt (/ 1 (+ (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))) (sqr (sqrt (/ 1 (+ (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))) (sqr (sqrt (/ 1 (+ (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))) (sqr (sqrt (/ 1 (+ (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]approximate:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (fma i 2 beta)))) into (sqrt (/ 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 (- (+ (* (/ 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))))) (* 2 (sqrt (/ 1 (+ 2.0 (fma i 2 beta)))))) into (* -1/2 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))))
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (sqrt (/ 1 (+ 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 (- (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (sqrt (/ 1 (+ 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 (- (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (sqrt (/ 1 (+ 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 (- (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) (sqrt (/ 1 (+ 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 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]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 (/ 1 (+ 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]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (* 0 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 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 (- (+ (* (/ 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]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]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 (- (+ (* (/ 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 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 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 (- (+ (* (/ 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]taylor:  Taking 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 (- (+ (* (/ 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)) (sqr (* alpha (* 1 1)))) (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (* alpha (* 1 1))) (/ 1 (+ 2.0 (fma i 2 beta))))) into (- (+ (/ (sqr alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))) (/ alpha (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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]backup-simplify:  Simplify (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (+ (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 (* 2 (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (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 (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (+ (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 (* 2 (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (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 (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (+ (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 (* 2 (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (sqrt (/ 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 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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 (+ (* (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (* 0 (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 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 (+ (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 1 into 1
* [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 (+ (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 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 into 0
* [misc]taylor:  Taking 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 (- (+ (* (/ 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]taylor:  Taking 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 (+ 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))) 1)))) 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 (- (+ (* (/ 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 (+ (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 into 0
* [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)) (* 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 (+ (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]taylor:  Taking 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)) 2.0)) (sqr (* (/ 1 alpha) (* 1 1)))) (* 1 (* (/ 1 alpha) (* 1 1)))) into (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in 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]taylor:  Taking 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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]backup-simplify:  Simplify (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (- (+ (* (/ 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 (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (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]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 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (- (+ (* (/ 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 (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (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]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 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (- (+ (* (/ 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 (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (sqrt (/ 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 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]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 (/ 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 (- (+ 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 (+ (* (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (* 0 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 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 (- (+ (* (/ 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]taylor:  Taking 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 (- 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 (- (+ (* (/ 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 (sqr 0) (+)) (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 into 0
* [misc]taylor:  Taking 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 (- (+ (* (/ 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]taylor:  Taking 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 (/ -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))) -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 (- 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 (- (+ (* (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 into 0
* [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)) (* 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 (- (+ 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]taylor:  Taking 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 (/ -1 i) 2 (/ -1 beta)))) (sqr (* (/ 1 (- alpha)) (* 1 1)))) (* -1 (* (/ 1 (- alpha)) (* 1 1)))) into (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (* (- beta alpha) (sqr (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (sqrt (/ 1 (+ 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 (- (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (fma i 2 beta)))) into (sqrt (/ 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 (- (+ (* (/ 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))))) (* 2 (sqrt (/ 1 (+ 2.0 (fma i 2 beta)))))) into (* -1/2 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (sqrt (/ 1 (+ 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 (- (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (sqrt (/ 1 (+ 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 (- (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (* (- alpha) (/ 1 (+ 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 (+ (* (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (* 0 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (* 1 (/ 1 (+ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ 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) 0) (+ (* 1 0) (* 0 (/ 1 (+ 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)) (sqr (sqrt (/ 1 (+ (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)) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (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 (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (+ (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 (* 2 (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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]backup-simplify:  Simplify (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (+ (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 (* 2 (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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]backup-simplify:  Simplify (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (+ (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 (* 2 (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 1 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (+ 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 (+ (* (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (* 0 (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [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 0) (* (- (/ 1 alpha)) (/ 1 (+ (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 alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in 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 (/ 1 1) into 1
* [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 (+ (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 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ 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)) 0) (* 0 (/ 1 (+ (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) 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 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 (+ (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ 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 0) (* 0 (/ 1 (+ (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]taylor:  Taking 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 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))) (sqr (sqrt (/ 1 (+ (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))) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (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]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 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (- (+ (* (/ 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 (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in 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]taylor:  Taking 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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]backup-simplify:  Simplify (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (- (+ (* (/ 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 (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (sqr (sqrt (/ 1 (+ (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 (sqr (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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]backup-simplify:  Simplify (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (- (+ (* (/ 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 (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* -1 (/ 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 (+ (* (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (* 0 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (/ 1 alpha) (/ 1 (- (+ 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]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 (- (+ (* (/ 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 (sqr 0) (+)) (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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) 0) (* 0 (/ 1 (- (+ 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 -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 (- 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 (- (+ (* (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 0) (* 0 (/ 1 (- (+ 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 (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (fma i 2 beta)))) into (sqrt (/ 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 (- (+ (* (/ 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))))) (* 2 (sqrt (/ 1 (+ 2.0 (fma i 2 beta)))))) into (* -1/2 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (sqrt (/ 1 (+ 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 (- (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (sqrt (/ 1 (+ 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 (- (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (sqrt (/ 1 (+ 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 (- (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2.0 (+ (fma i 2 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]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 (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (sqrt (/ 1 (+ 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 (- (+ (* (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) in 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]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (fma i 2 beta)))) into (sqrt (/ 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 (- (+ (* (/ 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))))) (* 2 (sqrt (/ 1 (+ 2.0 (fma i 2 beta)))))) into (* -1/2 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (fma i 2 beta)))) into (sqrt (/ 1 (+ 2.0 (fma i 2 beta))))
* [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 (* -1/2 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)))) into (* -1/2 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))))
* [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))) (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))) (* 0 (/ 0 (+ 2.0 (+ (fma i 2 beta) alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma i 2 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 (- (+ (* (/ 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 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ 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 (- (+ (* (/ 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)) (sqr (* -1/2 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))))) (+)) (* 2 (sqrt (/ 1 (+ 2.0 (fma i 2 beta)))))) into (* 3/8 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 5))))
* [misc]backup-simplify:  Simplify (* 3/8 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 5)))) into (* 3/8 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 5))))
* [misc]backup-simplify:  Simplify (+ (* (* 3/8 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 5)))) (sqr (* alpha (* 1 1)))) (+ (* (* -1/2 (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)))) (* alpha (* 1 1))) (sqrt (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (+ (* 3/8 (* (sqr alpha) (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 5))))) (sqrt (/ 1 (+ 2.0 (fma i 2 beta))))) (* 1/2 (* alpha (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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]backup-simplify:  Simplify (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (+ (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 (* 2 (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (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 (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (+ (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 (* 2 (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (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 (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) into (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 (+ (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 (* 2 (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 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)) (/ 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 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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]backup-simplify:  Simplify +nan.0 into +nan.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 (+ (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 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 into 0
* [misc]taylor:  Taking 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 (- (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ (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 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))) 1)))) into (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ +nan.0 (fma (/ 1 i) 2 (/ 1 beta)))) into (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 beta)) +nan.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 (+ (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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 into 0
* [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)) (* 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 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (* 0 (/ 0 (+ (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (- (fma (/ 1 i) 2 (/ 1 beta)) +nan.0)) (sqr (* (/ 1 alpha) (* 1 1)))) (* +nan.0 (* (/ 1 alpha) (* 1 1)))) into (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in 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]taylor:  Taking 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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]backup-simplify:  Simplify (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (- (+ (* (/ 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 (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (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]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 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (- (+ (* (/ 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 (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (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]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 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (- (+ (* (/ 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 (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ 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))) (/ 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]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 (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (- (+ (* (/ 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 (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in 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 (- (+ 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.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]backup-simplify:  Simplify +nan.0 into +nan.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 (- (+ (* (/ 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 (sqr 0) (+)) (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 into 0
* [misc]taylor:  Taking 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 (- (+ (* (/ 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 (sqr 0) (+)) (* 2 (sqrt (/ 1 (- (+ 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 (/ -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))) -1)))) into (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ +nan.0 (fma (/ -1 i) 2 (/ -1 beta)))) into (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 beta)) +nan.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 (- (+ (* (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 into 0
* [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)) (* 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 (- (+ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- (+ 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 (+ (* (* +nan.0 (- (fma (/ -1 i) 2 (/ -1 beta)) +nan.0)) (sqr (* (/ 1 (- alpha)) (* 1 1)))) (* +nan.0 (* (/ 1 (- alpha)) (* 1 1)))) into (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (- (* +nan.0 (/ 1 alpha)))))))
* * * [misc]progress:  tayloring alt 7 of 10
* [misc]approximate:  Taking taylor expansion of (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 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 (- (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 (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta 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 alpha) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ (- beta alpha) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 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 (- (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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [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 alpha) (- (sqr (fma i 2 beta)) (sqr (+ 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 (- (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 (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- 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 (* -1 (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 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 (- (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 (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- 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 (* -1 (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (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 (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (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)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [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 (- (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (* -1 (/ 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 (/ 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]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]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 (/ 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 -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [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]backup-simplify:  Simplify (/ -1 (- (sqr (fma i 2 beta)) 4.0)) into (/ -1 (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 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 (/ 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)))))) (* (/ 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]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 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]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]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))) (* 1 (* alpha beta))) (+ (* (/ -1 (- (sqr (fma i 2 beta)) 4.0)) (* 1 (* alpha 1))) (* (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (* 1 (* 1 beta))))) into (- (+ (/ beta (- (sqr (fma i 2 beta)) 4.0)) (* 4.0 (/ (* beta alpha) (sqr (- (sqr (fma i 2 beta)) 4.0))))) (/ alpha (- (sqr (fma i 2 beta)) 4.0)))
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 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 (- (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 (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 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 (+ 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) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ (- (/ 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 (/ (- (/ 1 beta) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 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 (- (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 (- 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) 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)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 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 (- (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 (+ 1 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 (+ 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) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 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 (- (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 (+ 1 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 (+ 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 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 (/ 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 (+ (* (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 (- (/ (- (/ 1 alpha)) (- (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 (- (/ 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 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) in 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 alpha
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 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 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 (* -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 1) (* (- 4.0) 0)) 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 (+ (* (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))))))) (* (- (/ 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]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 (* (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 0) (+ (* (- 4.0) 1) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 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]taylor:  Taking taylor expansion of (- 4.0) in i
* [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) into (- 4.0)
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (* (- 4.0) (sqr (* 1 (* (/ 1 alpha) 1)))) (+ (* -1 (* 1 (* (sqr (/ 1 alpha)) (/ 1 (/ 1 beta))))) (* 1 (* 1 (* (/ 1 alpha) 1))))) into (- (/ 1 alpha) (+ (* 4.0 (/ 1 (sqr alpha))) (/ beta (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 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 (- (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 (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 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 (+ 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) (/ 1 beta)) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ (- (/ 1 alpha) (/ 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)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 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 (- (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 (- -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) 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))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 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 (- (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 (+ -1 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 (+ 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)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 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 (- (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 (+ -1 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 (+ 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 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 (- 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 (+ (* (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 (- (/ (/ 1 alpha) (- (+ (* 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 (/ 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 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) 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 (- (+ (* 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 (* 0 -1) 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 4.0) (* 1 -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]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 (+ (* (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)))) (* (/ 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]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)))) 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 (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0)) (+ (* 1 4.0) (* 0 -1))) into 4.0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 4.0 -1)))) into (- 4.0)
* [misc]taylor:  Taking taylor expansion of (- 4.0) in i
* [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) into (- 4.0)
* [misc]backup-simplify:  Simplify (- 4.0) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (* (- 4.0) (sqr (* 1 (* (/ 1 (- alpha)) 1)))) (+ (* 1 (* 1 (* (sqr (/ 1 (- alpha))) (/ 1 (/ 1 (- beta)))))) (* -1 (* 1 (* (/ 1 (- alpha)) 1))))) into (- (/ 1 alpha) (+ (* 4.0 (/ 1 (sqr alpha))) (/ beta (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (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) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (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) in i
* [misc]backup-simplify:  Simplify (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) into (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (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) in alpha
* [misc]backup-simplify:  Simplify (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) into (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (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) in beta
* [misc]backup-simplify:  Simplify (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) into (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (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) in beta
* [misc]backup-simplify:  Simplify (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) into (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr 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 (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]approximate:  Taking taylor expansion of (fma (* (/ (- (/ 1 beta) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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)) (- (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)))))) (/ (+ (/ 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)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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)) (- (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)))))) (/ (+ (/ 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)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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)) (- (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)))))) (/ (+ (/ 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)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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)) (- (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)))))) (/ (+ (/ 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)))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 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)) (- (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)))))) (/ (+ (/ 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)))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 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)))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 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)))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 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)))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 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)) (- (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)))))) (/ (+ (/ 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)))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 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)))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 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)))) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 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))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (* (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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 (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0) into (fma (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0) into (fma (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0) into (fma (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 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 (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0) into (fma (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0)
* [misc]approximate:  Taking taylor expansion of (* (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (- (fma i 2 beta) (+ 2.0 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (- (fma i 2 beta) (+ 2.0 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 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 (- (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 (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ beta (- alpha)) into (- beta 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 alpha) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) into (/ (- beta 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)) 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 alpha) (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (- (fma i 2 beta) (+ 2.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 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 (- (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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [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 (- (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 alpha) (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (- (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 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 (- (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 (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- 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 (* -1 (/ 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)) 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) (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha)))) (- (fma i 2 beta) (+ 2.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- beta alpha) (- (sqr (fma i 2 beta)) (sqr (+ 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 (- (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 (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- 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 (* -1 (/ 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)) 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 (- (+ 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 (* (* -1 (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))) (- (fma i 2 beta) (+ 2.0 alpha))) into (* -1 (/ (* alpha (- (fma i 2 beta) (+ 2.0 alpha))) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (* alpha (- (fma i 2 beta) (+ 2.0 alpha))) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (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 (/ (* alpha (- (fma i 2 beta) (+ 2.0 alpha))) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr 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]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 (+ 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 (- (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 (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0)) into (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0))
* [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 0) into 1
* [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 (- (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (+ (* (* -1 (/ 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 (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ 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)))) 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]taylor:  Taking taylor expansion of (- (/ (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))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (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 (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 (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) into (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 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)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 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 (- (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]taylor:  Taking taylor expansion of (/ alpha (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (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)))) 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 (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0))) into (/ 2.0 (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (+ (/ 2.0 (- (sqr (fma i 2 beta)) 4.0)) 0) into (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0)))
* [misc]backup-simplify:  Simplify (- (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0)))) into (- (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) (- (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0))))) into (- (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) 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 (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 (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) into (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0))) in i
* [misc]taylor:  Taking taylor expansion of 2.0 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (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]backup-simplify:  Simplify (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0))) into (/ 2.0 (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (- (/ 2.0 (- (sqr (fma i 2 beta)) 4.0))) into (- (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) (- (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0))))) into (- (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (- (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0)))) into (- (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (* -1 (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0))) into (* -1 (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0)))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 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 (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (fma i 2 beta) 2.0) 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 in i
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (- 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 (* (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 (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0)) into (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0))
* [misc]backup-simplify:  Simplify (* -1 (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0))) into (* -1 (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0)))
* [misc]backup-simplify:  Simplify (* -1 (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0))) into (* -1 (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0)))
* [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 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 (/ 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)))))) (* (/ 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 (+ (* (* -1 (/ 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))))) 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 (+ (* (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 (- (/ 0 (- (sqr (fma i 2 beta)) 4.0)) (+ (* (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) (/ (- 4.0) (- (sqr (fma i 2 beta)) 4.0))))) into (* 4.0 (/ (fma i 2 beta) (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 (+ (* 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 (+ (* 2.0 (* 4.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))) (* 0 (/ 1 (- (sqr (fma i 2 beta)) 4.0)))) into (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ 1 (- (sqr (fma i 2 beta)) 4.0))) into (+ (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))))) into (- (+ (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (- (+ (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))))) into (- (* 4.0 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ 1 (- (sqr (fma i 2 beta)) 4.0))))
* [misc]taylor:  Taking taylor expansion of (- (* 4.0 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ 1 (- (sqr (fma i 2 beta)) 4.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (fma i 2 beta) (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 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0))) 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 (- (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 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0))) into (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ 1 (- (sqr (fma i 2 beta)) 4.0))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (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]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]backup-simplify:  Simplify (* 4.0 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0)))) into (* 4.0 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) into (/ 8.0 (sqr (- (sqr (fma i 2 beta)) 4.0)))
* [misc]backup-simplify:  Simplify (+ (/ 8.0 (sqr (- (sqr (fma i 2 beta)) 4.0))) (/ 1 (- (sqr (fma i 2 beta)) 4.0))) into (+ (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))))) into (- (+ (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (- (+ (/ 1 (- (sqr (fma i 2 beta)) 4.0)) (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0))))))) into (- (* 4.0 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ 1 (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (- (* 4.0 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ 1 (- (sqr (fma i 2 beta)) 4.0)))) into (- (* 4.0 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ 1 (- (sqr (fma i 2 beta)) 4.0))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 4.0 (/ (fma i 2 beta) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (+ (* 8.0 (/ 1 (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ 1 (- (sqr (fma i 2 beta)) 4.0)))) (* 1 (* alpha beta))) (+ (* (* -1 (/ (- (fma i 2 beta) 2.0) (- (sqr (fma i 2 beta)) 4.0))) (* 1 (* alpha 1))) (* (- (/ (fma i 2 beta) (- (sqr (fma i 2 beta)) 4.0)) (* 2.0 (/ 1 (- (sqr (fma i 2 beta)) 4.0)))) (* 1 (* 1 beta))))) into (- (+ (* 2.0 (/ alpha (- (sqr (fma i 2 beta)) 4.0))) (+ (* 4.0 (/ (* beta (* alpha (fma i 2 beta))) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ (* beta (fma i 2 beta)) (- (sqr (fma i 2 beta)) 4.0)))) (+ (/ (* beta alpha) (- (sqr (fma i 2 beta)) 4.0)) (+ (/ (* alpha (fma i 2 beta)) (- (sqr (fma i 2 beta)) 4.0)) (+ (* 2.0 (/ beta (- (sqr (fma i 2 beta)) 4.0))) (* 8.0 (/ (* beta alpha) (sqr (- (sqr (fma i 2 beta)) 4.0))))))))
* [misc]approximate:  Taking taylor expansion of (* (/ (- (/ 1 beta) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 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)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 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 (- (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 (- (/ 1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 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 (+ 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) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha)))))) into (/ (- (/ 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))) 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) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 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 (- (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 (- 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) 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 (/ 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) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 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 (- (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 (+ 1 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 (+ 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 (- (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) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha))))) (- (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 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 (- (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 (+ 1 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 (+ 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 (- (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 (- (+ 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]taylor:  Taking taylor expansion of (/ (- (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)))))) 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 (- (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 (/ -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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [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 (+ (* (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 (- (/ (- (/ 1 alpha)) (- (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 (- (/ 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]taylor:  Taking taylor expansion of (- (+ (/ 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))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 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)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (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))))) (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 (+ (* 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 (+ (* 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 (/ 1 (- 1)) into -1
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) alpha))) in alpha
* [misc]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))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 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))))) 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 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 (* -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 1) (* (- 4.0) 0)) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 beta)) (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 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 (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ (/ 1 (sqr alpha)) (+ 4.0 (* 4.0 (/ 1 alpha))))) 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 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 (* -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 1) (* (- 4.0) 0)) into -1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 beta)) -1) into (* -1 (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ -1 0) 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]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 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 (- (+ (* 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 (+ (* (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))))))) (* (- (/ 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 (+ (* (/ 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]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) (+ (* 1 0) (+ (* 0 1) (* 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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) 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 0) (+ (* (- 4.0) 1) (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) 0) (* 0 0)))) into (- 4.0)
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ (- 4.0) (- 1))))) into 4.0
* [misc]backup-simplify:  Simplify (* 2.0 -1) into -2.0
* [misc]backup-simplify:  Simplify (+ 4.0 -2.0) into 2.0
* [misc]backup-simplify:  Simplify (- (* -1 (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]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))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 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))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 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 (- (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 (- (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ 1 alpha)) into (- (/ 1 alpha) (/ 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 (+ 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) (/ 1 beta)) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) into (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))
* [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)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 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 (- (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 (- -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) 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 (/ 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)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 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 (- (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 (+ -1 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 (+ 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 (- (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)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha)))))) (- (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 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 (- (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 (+ -1 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 (+ 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 (- (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 (- (- 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 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0)) 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]taylor:  Taking taylor expansion of (* -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)))) 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 (/ -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))) 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)) 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 (+ 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 -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) 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 (- (+ (* -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 (+ (* (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 (- (/ (/ 1 alpha) (- (+ (* 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 (/ 1 (* alpha (- (+ (* 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))) 0) (* (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0))) 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]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)) 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)))))) in 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)) alpha)) (/ 1 (* (sqr alpha) (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) in 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)) 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)) 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 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 (* -1 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 (+ (* -1 1) (* 4.0 0)) into -1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 beta)) -1) into (* -1 (fma (/ -1 i) 2 (/ -1 beta)))
* [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)))) 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))) 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)) 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 (* 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 (* 0 -1) 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 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 4.0) (* 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 (* (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 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0)) (+ (* 0 4.0) (* 1 -1))) into (- 1)
* [misc]backup-simplify:  Simplify (/ 1 (- 1)) into -1
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) 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 (- (+ (* 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 (* 0 -1) 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 4.0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify (/ 1 -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]backup-simplify:  Simplify -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]backup-simplify:  Simplify 1 into 1
* [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 (- 0) into 0
* [misc]backup-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 (+ (* (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)))) (* (/ 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 (+ (* (/ -1 (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0))) 0) (+ (* (/ 1 (* alpha (- (+ (* 4.0 (/ 1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (/ 1 (sqr alpha)) 4.0)))) 0) (* 0 (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0)))) 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 (+ (* 4.0 0) (+ (* 0 0) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0)) (+ (* 1 4.0) (* 0 -1)))) into 4.0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 4.0 (- 1))))) into (- 4.0)
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 beta))) (- 4.0)) into (- (+ 4.0 (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* 2.0 -1) into -2.0
* [misc]backup-simplify:  Simplify (- -2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ (- (+ 4.0 (fma (/ -1 i) 2 (/ -1 beta)))) 2.0) 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 (- (sqr (fma i 2 beta)) (sqr (+ 2.0 alpha))) in (i beta alpha) around 0
* [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]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]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]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]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]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 (- (sqr (fma i 2 beta)) 4.0) into (- (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]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 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]taylor:  Taking 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 (- 4.0) into (- 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]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 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]taylor:  Taking 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 into -1
* [misc]backup-simplify:  Simplify (+ (* -1 (sqr (* alpha (* 1 1)))) (+ (* (- 4.0) (* alpha (* 1 1))) (- (sqr (fma i 2 beta)) 4.0))) into (- (sqr (fma i 2 beta)) (+ 4.0 (+ (sqr alpha) (* 4.0 alpha))))
* [misc]approximate:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (sqr (+ 2.0 (/ 1 alpha)))) in (i beta alpha) around 0
* [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]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]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]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]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]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 into -1
* [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]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 (- (+ (* (/ 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]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 (- 4.0) into (- 4.0)
* [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]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 (- (+ (* (/ 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]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)) (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 (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) 4.0) (+ (* (- 4.0) (* (/ 1 (/ 1 alpha)) (* 1 1))) (* -1 (sqr (* (/ 1 (/ 1 alpha)) (* 1 1)))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (- (sqr (fma (/ 1 (- i)) 2 (/ 1 (- beta)))) (sqr (+ 2.0 (/ 1 (- alpha))))) in (i beta alpha) around 0
* [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]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]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]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]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]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 into -1
* [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]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 (+ (* 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]taylor:  Taking taylor expansion of 0 in alpha
* [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 4.0 into 4.0
* [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]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 (+ (* 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]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 (+ (* 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 (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0) into (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0)
* [misc]backup-simplify:  Simplify (+ (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) 4.0) (+ (* 4.0 (* (/ 1 (/ 1 (- alpha))) (* 1 1))) (* -1 (sqr (* (/ 1 (/ 1 (- alpha))) (* 1 1)))))) into (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))
* * * [misc]progress:  tayloring alt 8 of 10
* [misc]approximate:  Taking taylor expansion of (fma (* (- beta alpha) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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)) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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))) (/ 1 (+ (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]approximate:  Taking taylor expansion of (* (- beta alpha) (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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 (* (- beta alpha) (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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 (* (- beta alpha) (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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 (* (- beta alpha) (/ 1 (+ (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 (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (* (- alpha) (/ 1 (+ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (* 1 (/ 1 (+ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- alpha) 0) (+ (* 1 0) (* 0 (/ 1 (+ 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)) (/ 1 (+ (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)) (/ 1 (+ (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 (/ 1 (+ (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 (/ 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)) (/ 1 (+ (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 (/ 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]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (/ 1 (+ (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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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)) (/ 1 (+ (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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (+ 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 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 (+ (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 (/ 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 0) (* (- (/ 1 alpha)) (/ 1 (+ (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 alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in 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 (/ 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 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 (+ (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 (/ 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)) 0) (* 0 (/ 1 (+ (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]taylor:  Taking 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 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))) (/ 1 (+ (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))) (/ 1 (+ (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 (/ 1 (+ (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]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 (- (+ 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))) (/ 1 (+ (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 (/ 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]taylor:  Taking 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 (- beta)) (/ 1 (- alpha))) (/ 1 (+ (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 (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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))) (/ 1 (+ (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 (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ 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 (- 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 (- (+ 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) 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 0) (* (/ 1 alpha) (/ 1 (- (+ 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 (- 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 (- (+ (* (/ 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 (- 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) 0) (* 0 (/ 1 (- (+ 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) (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]approximate:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (fma i 2 beta) (+ 2.0 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]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 (+ (fma i 2 beta) (+ 2.0 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]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))) 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]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))) 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]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 (+ 2.0 (+ (fma i 2 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]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 (/ 1 (+ 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]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 (- (+ (* (/ 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 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 (- (+ (* (/ 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]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]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 (- (+ (* (/ 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]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 (- (+ (* (/ 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]taylor:  Taking 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 (- (+ (* (/ 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)) (sqr (* alpha (* 1 1)))) (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (* alpha (* 1 1))) (/ 1 (+ 2.0 (fma i 2 beta))))) into (- (+ (/ (sqr alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))) (/ 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)))) in (i beta alpha) around 0
* [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]taylor:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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 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 (/ 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 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 (/ 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 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]backup-simplify:  Simplify (+ 2.0 (/ 1 alpha)) into (+ 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ 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 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 (+ (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 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 (- (+ (* (/ 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]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 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))) 1)))) 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 (- (+ (* (/ 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 (+ (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 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 (- (+ (* (/ 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]taylor:  Taking 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)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (/ (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 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)) (pow (* (/ 1 alpha) (* 1 1)) 3)) (+ (* (- (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (sqr (* (/ 1 alpha) (* 1 1)))) (* 1 (* (/ 1 alpha) (* 1 1))))) into (- (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (pow alpha 3)) (+ (* 4.0 (/ 1 (pow alpha 3))) (+ (/ 1 alpha) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (pow alpha 3)))))) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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))))) 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]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 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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))))) 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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))))) 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]backup-simplify:  Simplify (+ 2.0 (/ -1 alpha)) into (- 2.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -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 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]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 (/ 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 (- (+ 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 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 (- (+ (* (/ 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]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 (- (+ (* (/ 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]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 2.0 (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))) -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 (- (+ (* (/ 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]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 (- (+ (* (/ 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]taylor:  Taking 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)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -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)))))) (pow (* (/ 1 (- alpha)) (* 1 1)) 3)) (+ (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta)))) (sqr (* (/ 1 (- alpha)) (* 1 1)))) (* -1 (* (/ 1 (- alpha)) (* 1 1))))) into (- (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (pow alpha 3)) (+ (* 4.0 (/ 1 (pow alpha 3))) (+ (/ 1 alpha) (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (pow alpha 3)))))) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))
* * * [misc]progress:  tayloring alt 9 of 10
* [misc]approximate:  Taking taylor expansion of (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in i
* [misc]taylor:  Taking taylor expansion of (cube beta) in i
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in i
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [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]backup-simplify:  Simplify (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube 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 (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (sqr beta) (+ (sqr alpha) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (sqr alpha) (* 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 (* 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]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ (sqr alpha) (* beta alpha)) into (+ (* beta alpha) (sqr alpha))
* [misc]backup-simplify:  Simplify (+ (sqr beta) (+ (* beta alpha) (sqr alpha))) into (+ (* beta alpha) (+ (sqr alpha) (sqr beta)))
* [misc]backup-simplify:  Simplify (/ (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta)))) into (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube beta) in alpha
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in alpha
* [misc]backup-simplify:  Simplify (cube alpha) into (cube 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]backup-simplify:  Simplify (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube 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 (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) into (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (sqr beta) (+ (sqr alpha) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (sqr alpha) (* 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 (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr beta) 0) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) (sqr beta)) into (/ (- (cube beta) (cube alpha)) (* (sqr beta) (+ 2.0 (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (cube beta) in beta
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in beta
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [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]backup-simplify:  Simplify (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube 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 (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (sqr beta) (+ (sqr alpha) (* 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 alpha) (* 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 (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (sqr alpha) 0) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 0 (sqr alpha)) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) (sqr alpha)) into (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (sqr alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (cube beta) in beta
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in beta
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [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]backup-simplify:  Simplify (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube 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 (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (+ (sqr beta) (+ (sqr alpha) (* 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 alpha) (* 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 (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* alpha alpha) into (sqr alpha)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (sqr alpha) 0) into (sqr alpha)
* [misc]backup-simplify:  Simplify (+ 0 (sqr alpha)) into (sqr alpha)
* [misc]backup-simplify:  Simplify (/ (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) (sqr alpha)) into (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (sqr alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube beta) in alpha
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in alpha
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ alpha (fma i 2 beta))) (sqr 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 (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 (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (+ 2.0 (fma i 2 beta)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 1) (+ (* 1 0) (* 0 0))) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) into (/ (- (cube beta) (cube alpha)) (+ 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 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 (+ (* (+ 2.0 (fma i 2 beta)) 0) (+ (* 1 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (+ (* 1 1) (+ (* 0 0) (* 0 0)))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta))))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)))
* [misc]taylor:  Taking taylor expansion of (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (cube beta) in i
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [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 (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) into (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]taylor:  Taking taylor expansion of (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (cube alpha) in i
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [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 (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) into (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]backup-simplify:  Simplify (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))) into (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)))
* [misc]backup-simplify:  Simplify (+ (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)))) into (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)))
* [misc]backup-simplify:  Simplify (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))) into (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)))
* [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 (+ alpha (fma i 2 beta)))) (+ (* (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr alpha)) (+ (* (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (sqr alpha))) (/ alpha (sqr alpha))))) into (- (/ (cube alpha) (* (pow alpha 3) (+ 2.0 (+ alpha (fma i 2 beta))))) (/ (cube beta) (* (+ 2.0 (+ alpha (fma i 2 beta))) (pow alpha 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (cube alpha) (* (pow alpha 3) (+ 2.0 (+ alpha (fma i 2 beta))))) (/ (cube beta) (* (+ 2.0 (+ alpha (fma i 2 beta))) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cube alpha) (* (pow alpha 3) (+ 2.0 (+ alpha (fma i 2 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube alpha) in alpha
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [misc]taylor:  Taking taylor expansion of (* (pow alpha 3) (+ 2.0 (+ alpha (fma i 2 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) 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]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 (* 1 (+ 2.0 (fma i 2 beta))) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (cube alpha) (+ 2.0 (fma i 2 beta))) into (/ (cube alpha) (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (cube beta) (* (+ 2.0 (+ alpha (fma i 2 beta))) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube beta) in alpha
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (* (+ 2.0 (+ alpha (fma i 2 beta))) (pow alpha 3)) 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 (pow alpha 3) in 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)) 1) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (cube beta) (+ 2.0 (fma i 2 beta))) into (/ (cube beta) (+ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 0) (+ (* 0 0) (+ (* 0 1) (* 0 (+ 2.0 (fma i 2 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 (+ 2.0 (fma i 2 beta)))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ (cube alpha) (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* 0 (+ 2.0 (fma i 2 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ (cube alpha) (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta))))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ (cube alpha) (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta))))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [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 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 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ (cube beta) (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ (cube beta) (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (- (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta))))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ (cube beta) (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (- (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta))))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)))
* [misc]backup-simplify:  Simplify (- (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)))) into (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4))
* [misc]backup-simplify:  Simplify (+ (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4))) (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4))) into (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)))
* [misc]taylor:  Taking taylor expansion of (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (cube beta) in i
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (pow (+ 2.0 (fma i 2 beta)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ 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 (* 4 (log (+ 2.0 (fma i 2 beta)))) into (* 4 (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (+ 2.0 (fma i 2 beta))))) into (pow (+ 2.0 (fma i 2 beta)) 4)
* [misc]backup-simplify:  Simplify (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)) into (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4))
* [misc]taylor:  Taking taylor expansion of (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (cube alpha) in i
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [misc]taylor:  Taking taylor expansion of (pow (+ 2.0 (fma i 2 beta)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ 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 (* 4 (log (+ 2.0 (fma i 2 beta)))) into (* 4 (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (+ 2.0 (fma i 2 beta))))) into (pow (+ 2.0 (fma i 2 beta)) 4)
* [misc]backup-simplify:  Simplify (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) into (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4))
* [misc]backup-simplify:  Simplify (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4))) into (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)))
* [misc]backup-simplify:  Simplify (+ (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)) (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)))) into (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)))
* [misc]backup-simplify:  Simplify (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4))) into (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)))
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ 2.0 (fma i 2 beta)) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta))))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)))
* [misc]taylor:  Taking taylor expansion of (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (cube alpha) in i
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [misc]taylor:  Taking taylor expansion of (pow (+ 2.0 (fma i 2 beta)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ 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 (* 4 (log (+ 2.0 (fma i 2 beta)))) into (* 4 (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (+ 2.0 (fma i 2 beta))))) into (pow (+ 2.0 (fma i 2 beta)) 4)
* [misc]backup-simplify:  Simplify (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) into (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4))
* [misc]taylor:  Taking taylor expansion of (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (cube beta) in i
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (pow (+ 2.0 (fma i 2 beta)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ 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 (* 4 (log (+ 2.0 (fma i 2 beta)))) into (* 4 (log (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (+ 2.0 (fma i 2 beta))))) into (pow (+ 2.0 (fma i 2 beta)) 4)
* [misc]backup-simplify:  Simplify (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)) into (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4))
* [misc]backup-simplify:  Simplify (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4))) into (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)))
* [misc]backup-simplify:  Simplify (+ (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)))) into (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)))
* [misc]backup-simplify:  Simplify (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4))) into (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)))
* [misc]backup-simplify:  Simplify (+ (* (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4))) (* 1 (* alpha 1))) (+ (* (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 4))) (* 1 (* 1 beta))) (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))))) into (- (+ (/ (* beta (cube beta)) (pow (+ 2.0 (fma i 2 beta)) 4)) (+ (/ (* (cube alpha) alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)))) (+ (/ (* (cube alpha) beta) (pow (+ 2.0 (fma i 2 beta)) 4)) (+ (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (* alpha (cube beta)) (pow (+ 2.0 (fma i 2 beta)) 4)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 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]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]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) (/ 1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 alpha)) into (/ 1 (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (/ 1 (* beta alpha))) into (+ (/ 1 (sqr alpha)) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (+ (/ 1 (sqr alpha)) (/ 1 (* beta alpha)))) into (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha))))) into (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 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]backup-simplify:  Simplify (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) 1) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) 1) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 1) into (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 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]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) 1) into (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 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 (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) 1) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 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) (+ (* (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (/ (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)))) into (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (/ 0 1)) (* (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))) (/ (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)))) into (- (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (cube (/ 1 beta))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (cube (/ 1 beta))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (cube (/ 1 beta))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 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]taylor:  Taking taylor expansion of (+ (* 4.0 (cube (/ 1 beta))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (cube (/ 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 (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (cube (/ 1 beta)) (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 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in 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 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (cube (/ 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 (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 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 (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 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 i) 2 (/ 1 beta)) (cube (/ 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 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 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 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) into (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* 4.0 (cube (/ 1 beta))) into (* 4.0 (cube (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) into (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (cube (/ 1 beta))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))) into (+ (* 4.0 (cube (/ 1 beta))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (cube (/ 1 beta))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) into (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* 4.0 (cube (/ 1 alpha))) into (* 4.0 (cube (/ 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))) (cube (/ 1 alpha))) into (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) into (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) into (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) into (- (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (- (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))) into (- (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) into (- (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (+ (* (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (/ 1 alpha) 1)))) into (- (/ (cube (/ 1 alpha)) (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) alpha)) (/ (cube (/ 1 beta)) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (cube (/ 1 alpha)) (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) alpha)) (/ (cube (/ 1 beta)) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cube (/ 1 alpha)) (* (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 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 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 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 1) (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 0)) into 1
* [misc]backup-simplify:  Simplify (/ (cube (/ 1 alpha)) 1) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (cube (/ 1 beta)) (* alpha (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [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 (/ (cube (/ 1 beta)) 1) into (cube (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (+ (* 1 0) (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1) (* 0 0))) into (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cube (/ 1 alpha)) (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cube (/ 1 alpha)) (/ 0 1)) (* (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))) (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (+ (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 4.0 (cube (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cube (/ 1 alpha)) (/ 0 1)) (* (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))) (/ 0 1)) (* (+ (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 4.0 (cube (/ 1 alpha))) (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))))) (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 8.0 (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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) 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1))))) 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) (+ (* (cube (/ 1 beta)) (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cube (/ 1 beta)) (/ 0 1)) (* (- (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))) (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cube (/ 1 beta)) (/ 0 1)) (* (- (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))) (/ 0 1)) (* (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 8.0 (cube (/ 1 beta))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 8.0 (cube (/ 1 beta))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3))))))) into (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 8.0 (cube (/ 1 beta))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 8.0 (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))) (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 8.0 (cube (/ 1 beta))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)))))) into (- (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))))) (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))))) (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12.0 (* (cube (/ 1 beta)) (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 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in 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 (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) 2 (/ 1 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 (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 (log (fma (/ 1 i) 2 (/ 1 beta))) into (log (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) 2 (/ 1 beta)))) into (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))) into (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (cube (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 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]taylor:  Taking taylor expansion of (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) 2 (/ 1 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 (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 (log (fma (/ 1 i) 2 (/ 1 beta))) into (log (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) 2 (/ 1 beta)))) into (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))) into (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 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 (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (cube (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) 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 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 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 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) into (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) into (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3))
* [misc]backup-simplify:  Simplify (* 8.0 (cube (/ 1 beta))) into (* 8.0 (cube (/ 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 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) into (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) into (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))) into (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))))) into (+ (* 8.0 (cube (/ 1 beta))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3))))
* [misc]backup-simplify:  Simplify (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 8.0 (cube (/ 1 beta))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3))))) into (+ (* 8.0 (cube (/ 1 beta))) (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)))))
* [misc]backup-simplify:  Simplify (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) into (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 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))) (cube (/ 1 alpha))) into (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) into (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 8.0 (cube (/ 1 alpha))) into (* 8.0 (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) into (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) into (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))) into (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))) into (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) into (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))) into (- (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 8.0 (cube (/ 1 beta))) (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3))))) (- (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))))) into (- (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* 8.0 (cube (/ 1 beta)))))) (+ (* 8.0 (cube (/ 1 alpha))) (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* 8.0 (cube (/ 1 beta)))))) (+ (* 8.0 (cube (/ 1 alpha))) (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))) into (- (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* 8.0 (cube (/ 1 beta)))))) (+ (* 8.0 (cube (/ 1 alpha))) (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))))
* [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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (/ 0 1)) (* (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))) (/ 0 1)) (* (- (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (cube (/ 1 beta))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) (/ (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))) 1)))) into (- (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 8.0 (cube (/ 1 alpha))) (+ (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))))))) (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* 8.0 (cube (/ 1 beta)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 8.0 (cube (/ 1 alpha))) (+ (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))))))) (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* 8.0 (cube (/ 1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 8.0 (cube (/ 1 alpha))) (+ (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) 2 (/ 1 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 (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 (log (fma (/ 1 i) 2 (/ 1 beta))) into (log (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) 2 (/ 1 beta)))) into (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))) into (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (cube (/ 1 alpha))) (+ (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (cube (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) 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 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 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 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 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 (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* 8.0 (cube (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12.0 (* (cube (/ 1 beta)) (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 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 beta)) into (fma (/ 1 i) 2 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* 8.0 (cube (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 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]taylor:  Taking taylor expansion of (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* 8.0 (cube (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) 2 (/ 1 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 (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 (log (fma (/ 1 i) 2 (/ 1 beta))) into (log (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) 2 (/ 1 beta)))) into (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ 1 i) 2 (/ 1 beta))))) into (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)
* [misc]taylor:  Taking taylor expansion of (* 8.0 (cube (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) into (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 8.0 (cube (/ 1 alpha))) into (* 8.0 (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) into (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) into (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 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))) (cube (/ 1 alpha))) into (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) into (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))))) into (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))) into (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) into (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) into (* 12.0 (* (cube (/ 1 beta)) (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 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) into (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) into (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) into (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3))
* [misc]backup-simplify:  Simplify (* 8.0 (cube (/ 1 beta))) into (* 8.0 (cube (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* 8.0 (cube (/ 1 beta)))) into (+ (* 8.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)))
* [misc]backup-simplify:  Simplify (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (+ (* 8.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)))) into (+ (* 8.0 (cube (/ 1 beta))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3))))
* [misc]backup-simplify:  Simplify (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 8.0 (cube (/ 1 beta))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3))))) into (+ (* 8.0 (cube (/ 1 beta))) (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)))))
* [misc]backup-simplify:  Simplify (- (+ (* 8.0 (cube (/ 1 beta))) (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)))))) into (- (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 8.0 (cube (/ 1 beta))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3))))))
* [misc]backup-simplify:  Simplify (+ (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) (- (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 8.0 (cube (/ 1 beta))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3))))))) into (- (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))))))) into (- (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (+ (* 8.0 (cube (/ 1 alpha))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (+ (* 8.0 (cube (/ 1 beta))) (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))))))) (sqr (* 1 (* (sqr (/ 1 alpha)) (/ 1 beta))))) (+ (* (- (+ (* 12.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 6.0 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) (+ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* 8.0 (cube (/ 1 beta)))))) (+ (* 8.0 (cube (/ 1 alpha))) (+ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (+ (* 6.0 (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))) (* 12.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))) (pow (* 1 (* (/ 1 alpha) (/ 1 beta))) 3)) (* (- (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) (* 1 (* (pow (/ 1 alpha) 3) (sqr (/ 1 beta))))))) into (- (+ (* 6.0 (/ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* (sqr beta) (pow alpha 4)))) (+ (* 4.0 (/ (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (* (sqr beta) (pow alpha 3)))) (+ (* 8.0 (/ (cube (/ 1 beta)) (* (pow beta 3) (pow alpha 3)))) (+ (* 8.0 (/ (cube (/ 1 alpha)) (* (sqr beta) (pow alpha 4)))) (+ (* 4.0 (/ (cube (/ 1 beta)) (* (sqr beta) (pow alpha 3)))) (+ (* 12.0 (/ (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (* (pow beta 3) (pow alpha 3)))) (+ (/ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* (pow beta 3) (pow alpha 3))) (+ (/ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* (sqr beta) (pow alpha 3))) (+ (* 12.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (* (sqr beta) (pow alpha 4)))) (+ (/ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (* (sqr beta) (pow alpha 4))) (* 6.0 (/ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* (pow beta 3) (pow alpha 3)))))))))))))) (+ (* 8.0 (/ (cube (/ 1 alpha)) (* (pow beta 3) (pow alpha 3)))) (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* (sqr beta) (pow alpha 3))) (+ (/ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (* (pow beta 3) (pow alpha 3))) (+ (* 4.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (* (sqr beta) (pow alpha 3)))) (+ (* 6.0 (/ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* (sqr beta) (pow alpha 4)))) (+ (* 8.0 (/ (cube (/ 1 beta)) (* (sqr beta) (pow alpha 4)))) (+ (* 12.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (* (pow beta 3) (pow alpha 3)))) (+ (* 12.0 (/ (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (* (sqr beta) (pow alpha 4)))) (+ (* 6.0 (/ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* (pow beta 3) (pow alpha 3)))) (+ (* 4.0 (/ (cube (/ 1 alpha)) (* (sqr beta) (pow alpha 3)))) (/ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* (sqr beta) (pow alpha 4))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (- beta))) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (- alpha))) into (cube (/ -1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -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 (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 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]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]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) (/ -1 alpha)) into (/ 1 (sqr alpha))
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 alpha)) into (/ 1 (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr alpha)) (/ 1 (* beta alpha))) into (+ (/ 1 (sqr alpha)) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (+ (/ 1 (sqr alpha)) (/ 1 (* beta alpha)))) into (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha))))) into (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (- beta))) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (- alpha))) into (cube (/ -1 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]backup-simplify:  Simplify (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) -1) into (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 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]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha)))) 1) into (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- beta))) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- alpha))) into (cube (/ -1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -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 (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 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]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 1) into (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- beta))) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- alpha))) into (cube (/ -1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -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 (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 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]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) 1) into (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube (/ -1 beta)) (cube (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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 (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) -1) into (* -1 (- (cube (/ -1 beta)) (cube (/ -1 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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 (- (/ 0 -1) (+ (* (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha)))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) -1)))) into (- (+ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (cube (/ -1 alpha)))) (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha)))) (/ 0 -1)) (* (- (+ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (cube (/ -1 alpha)))) (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) -1)))) into (- (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (cube (/ -1 alpha)) (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 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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]taylor:  Taking taylor expansion of (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (cube (/ -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 (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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 (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -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]taylor:  Taking taylor expansion of (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (cube (/ -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 (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (cube (/ -1 beta)) (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 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 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 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) into (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* 4.0 (cube (/ -1 alpha))) into (* 4.0 (cube (/ -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 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) into (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (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 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* 4.0 (cube (/ -1 beta))) into (* 4.0 (cube (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))) into (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) into (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))) into (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))
* [misc]backup-simplify:  Simplify (- (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) into (- (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (- (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))) into (- (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) into (- (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [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 (- (+ (* (/ -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))) (+ (* (/ (- (cube (/ -1 beta)) (cube (/ -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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) (/ (/ 1 alpha) 1)))) into (- (/ (cube (/ -1 alpha)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ (cube (/ -1 beta)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ (cube (/ -1 alpha)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) (/ (cube (/ -1 beta)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (cube (/ -1 alpha)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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 (/ -1 alpha)) (- 1)) into (* -1 (cube (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (cube (/ -1 beta)) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [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 (/ -1 beta)) (- 1)) into (* -1 (cube (/ -1 beta)))
* [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 (+ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (+ (* 0 1) (* 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 (/ -1 alpha))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (cube (/ -1 alpha)))))
* [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 (cube (/ -1 alpha))) (/ 0 (- 1))) (* (- (+ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (cube (/ -1 alpha))))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- 1)) (+ (* (* -1 (cube (/ -1 alpha))) (/ 0 (- 1))) (* (- (+ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (cube (/ -1 alpha))))) (/ 0 (- 1))) (* (- (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))))))
* [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 (+ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (+ (* 0 1) (* 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 (/ -1 beta))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))
* [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 (cube (/ -1 beta))) (/ 0 (- 1))) (* (- (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- 1)) (+ (* (* -1 (cube (/ -1 beta))) (/ 0 (- 1))) (* (- (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) (/ 0 (- 1))) (* (- (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- 1))))) into (- (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))))) into (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)))))) (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))) into (- (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -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]taylor:  Taking taylor expansion of (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) 2 (/ -1 beta)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) 2 (/ -1 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 (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 (log (fma (/ -1 i) 2 (/ -1 beta))) into (log (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) 2 (/ -1 beta)))) into (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))) into (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (cube (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* 12.0 (* (cube (/ -1 beta)) (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 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 beta)) in 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 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12.0 (* (cube (/ -1 alpha)) (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 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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]taylor:  Taking taylor expansion of (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) 2 (/ -1 beta)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) 2 (/ -1 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 (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 (log (fma (/ -1 i) 2 (/ -1 beta))) into (log (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) 2 (/ -1 beta)))) into (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))) into (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (cube (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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]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 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) into (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))
* [misc]backup-simplify:  Simplify (* 8.0 (cube (/ -1 beta))) into (* 8.0 (cube (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))) into (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) into (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))) into (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))
* [misc]backup-simplify:  Simplify (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) into (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]backup-simplify:  Simplify (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) into (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) into (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))
* [misc]backup-simplify:  Simplify (* 8.0 (cube (/ -1 alpha))) into (* 8.0 (cube (/ -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 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) into (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))) into (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))))
* [misc]backup-simplify:  Simplify (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))))) into (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)))))
* [misc]backup-simplify:  Simplify (- (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)))))) into (- (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) (- (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))))))) into (- (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))))) into (- (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 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 (- (+ (* 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 (- (/ 0 -1) (+ (* (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha)))) (/ 0 -1)) (* (- (+ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (cube (/ -1 alpha)))) (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) (/ 0 -1)) (* (- (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) -1)))) into (- (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))))) (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))))) (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12.0 (* (cube (/ -1 alpha)) (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 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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]taylor:  Taking taylor expansion of (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) 2 (/ -1 beta)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) 2 (/ -1 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 (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 (log (fma (/ -1 i) 2 (/ -1 beta))) into (log (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) 2 (/ -1 beta)))) into (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))) into (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (cube (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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 (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -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]taylor:  Taking taylor expansion of (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) 2 (/ -1 beta)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) 2 (/ -1 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 (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 (log (fma (/ -1 i) 2 (/ -1 beta))) into (log (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) 2 (/ -1 beta)))) into (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) 2 (/ -1 beta))))) into (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (cube (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* 12.0 (* (cube (/ -1 beta)) (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 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 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 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) into (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) into (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))
* [misc]backup-simplify:  Simplify (* 8.0 (cube (/ -1 alpha))) into (* 8.0 (cube (/ -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 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) into (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))) into (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))))
* [misc]backup-simplify:  Simplify (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))))) into (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 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 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) into (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))
* [misc]backup-simplify:  Simplify (* 8.0 (cube (/ -1 beta))) into (* 8.0 (cube (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))) into (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) into (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))) into (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))
* [misc]backup-simplify:  Simplify (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) into (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))) into (- (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 8.0 (cube (/ -1 alpha))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3))))) (- (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))))) into (- (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))))) (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))))) (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))) into (- (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))))) (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))))) (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))) (sqr (* 1 (* (sqr (/ 1 (- alpha))) (/ 1 (- beta)))))) (+ (* (- (+ (* 6.0 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (+ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 beta))) (* 12.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) (+ (* 12.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (+ (* 8.0 (cube (/ -1 alpha))) (* 6.0 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))))))) (pow (* 1 (* (/ 1 (- alpha)) (/ 1 (- beta)))) 3)) (* (- (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) (* 1 (* (pow (/ 1 (- alpha)) 3) (sqr (/ 1 (- beta)))))))) into (- (+ (* 8.0 (/ (cube (/ -1 alpha)) (* (sqr beta) (pow alpha 4)))) (+ (/ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (* (pow beta 3) (pow alpha 3))) (+ (/ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (* (sqr beta) (pow alpha 4))) (+ (* 4.0 (/ (cube (/ -1 beta)) (* (sqr beta) (pow alpha 3)))) (+ (* 12.0 (/ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr beta) (pow alpha 4)))) (+ (* 6.0 (/ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (pow beta 3) (pow alpha 3)))) (+ (* 6.0 (/ (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (sqr beta) (pow alpha 4)))) (+ (* 12.0 (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (* (pow beta 3) (pow alpha 3)))) (+ (* 8.0 (/ (cube (/ -1 beta)) (* (pow beta 3) (pow alpha 3)))) (+ (* 4.0 (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr beta) (pow alpha 3)))) (/ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (sqr beta) (pow alpha 3))))))))))))) (+ (/ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (* (pow beta 3) (pow alpha 3))) (+ (/ (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (sqr beta) (pow alpha 3))) (+ (* 4.0 (/ (cube (/ -1 alpha)) (* (sqr beta) (pow alpha 3)))) (+ (* 8.0 (/ (cube (/ -1 alpha)) (* (pow beta 3) (pow alpha 3)))) (+ (* 4.0 (/ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr beta) (pow alpha 3)))) (+ (* 8.0 (/ (cube (/ -1 beta)) (* (sqr beta) (pow alpha 4)))) (+ (/ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (* (sqr beta) (pow alpha 4))) (+ (* 6.0 (/ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (sqr beta) (pow alpha 4)))) (+ (* 6.0 (/ (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (pow beta 3) (pow alpha 3)))) (+ (* 12.0 (/ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* (pow beta 3) (pow alpha 3)))) (* 12.0 (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr beta) (pow alpha 4)))))))))))))))
* [misc]approximate:  Taking taylor expansion of (fma (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) into (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ 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 (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) into (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0)
* [misc]approximate:  Taking taylor expansion of (fma (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 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 (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (sqr (/ 1 beta)) (+ (sqr (/ 1 alpha)) (* (/ 1 beta) (/ 1 alpha))))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) into (fma (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 i
* [misc]backup-simplify:  Simplify (fma (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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]backup-simplify:  Simplify (fma (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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]approximate:  Taking taylor expansion of (fma (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 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 (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) in beta
* [misc]backup-simplify:  Simplify (fma (/ (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) (+ (sqr (/ 1 (- beta))) (+ (sqr (/ 1 (- alpha))) (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (fma 2 (/ 1 (- i)) (+ (/ 1 (- alpha)) (/ 1 (- beta))))) 1.0) into (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]taylor:  Taking taylor expansion of (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) in i
* [misc]backup-simplify:  Simplify (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]backup-simplify:  Simplify (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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 (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) into (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0)
* [misc]approximate:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in i
* [misc]taylor:  Taking taylor expansion of (cube beta) in i
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in i
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [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]backup-simplify:  Simplify (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube 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 (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube beta) in alpha
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in alpha
* [misc]backup-simplify:  Simplify (cube alpha) into (cube 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]backup-simplify:  Simplify (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube 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 (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) into (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (cube beta) in beta
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in beta
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [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]backup-simplify:  Simplify (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube 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 (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (cube beta) in beta
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in beta
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [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]backup-simplify:  Simplify (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube 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 (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) into (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube beta) in alpha
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in alpha
* [misc]backup-simplify:  Simplify (cube alpha) into (cube 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]backup-simplify:  Simplify (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube 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 (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) into (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in i
* [misc]taylor:  Taking taylor expansion of (cube beta) in i
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in i
* [misc]backup-simplify:  Simplify (cube alpha) into (cube 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 (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube alpha))
* [misc]backup-simplify:  Simplify (+ 2.0 (fma i 2 beta)) into (+ 2.0 (fma i 2 beta))
* [misc]backup-simplify:  Simplify (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) into (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta)))
* [misc]backup-simplify:  Simplify (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) into (/ (- (cube beta) (cube alpha)) (+ 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 (+ alpha (fma i 2 beta)))) (+ (* (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ 2.0 (fma i 2 beta))) (+ (* (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube alpha) in i
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [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 (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) into (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta))))
* [misc]taylor:  Taking taylor expansion of (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube beta) in i
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [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 (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta)))) into (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta))))
* [misc]backup-simplify:  Simplify (- (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (+ (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) (- (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta)))))) into (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]backup-simplify:  Simplify (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta))))) into (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube beta) (sqr (+ 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 (+ 2.0 (fma i 2 beta))) (+ (* (/ (- (cube beta) (cube alpha)) (+ 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) 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 (+ alpha (fma i 2 beta)))) (+ (* (/ (- (cube beta) (cube alpha)) (+ 2.0 (+ alpha (fma i 2 beta)))) (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))) (* 0 (/ 0 (+ 2.0 (+ alpha (fma i 2 beta))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in 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]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))) (+ (* (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))) (/ 0 (+ 2.0 (fma i 2 beta)))) (* (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta))))) (/ 1 (+ 2.0 (fma i 2 beta)))))) into (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)))
* [misc]taylor:  Taking taylor expansion of (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (cube beta) in i
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [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 (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) into (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]taylor:  Taking taylor expansion of (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (cube alpha) in i
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [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 (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) into (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))
* [misc]backup-simplify:  Simplify (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))) into (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)))
* [misc]backup-simplify:  Simplify (+ (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (- (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)))) into (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)))
* [misc]backup-simplify:  Simplify (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))) into (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)))
* [misc]backup-simplify:  Simplify (+ (* (- (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3))) (sqr (* 1 (* alpha 1)))) (+ (* (- (/ (cube alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube beta) (sqr (+ 2.0 (fma i 2 beta))))) (* 1 (* alpha 1))) (/ (- (cube beta) (cube alpha)) (+ 2.0 (fma i 2 beta))))) into (- (+ (/ (* (cube alpha) alpha) (sqr (+ 2.0 (fma i 2 beta)))) (+ (/ (cube beta) (+ 2.0 (fma i 2 beta))) (/ (* (sqr alpha) (cube beta)) (pow (+ 2.0 (fma i 2 beta)) 3)))) (+ (/ (* (cube alpha) (sqr alpha)) (pow (+ 2.0 (fma i 2 beta)) 3)) (+ (/ (* alpha (cube beta)) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube alpha) (+ 2.0 (fma i 2 beta))))))
* [misc]approximate:  Taking taylor expansion of (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 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]backup-simplify:  Simplify (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) 1) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 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 (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) into (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 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 (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) 1) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (cube (/ 1 beta)) (cube (/ 1 alpha))) into (- (cube (/ 1 beta)) (cube (/ 1 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (+ (* (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (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]taylor:  Taking 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 (- (+ (* 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) (+ (* (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (cube (/ 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 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 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 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (cube (/ 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 (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 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 (/ 1 alpha))) into (* 2.0 (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) into (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) into (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2.0 (cube (/ 1 beta))) into (* 2.0 (cube (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) into (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))) into (- (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (- (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) into (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))) into (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))
* [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) 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 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (+ (* (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (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]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]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 (- (/ 0 1) (+ (* (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (/ 0 1)) (* (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))) (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0) 1)))) into (- (+ (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (cube (/ 1 beta)) (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 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 beta)) in 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 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (cube (/ 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 (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 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]taylor:  Taking taylor expansion of (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 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 (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (cube (/ 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 (cube (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 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 i) 2 (/ 1 beta)) (cube (/ 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 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) into (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) into (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* 4.0 (cube (/ 1 beta))) into (* 4.0 (cube (/ 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 (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) into (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))) into (+ (* 4.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (+ (* 4.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))) into (+ (* 4.0 (cube (/ 1 beta))) (+ (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (* (cube (/ 1 beta)) (sqr (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))) (cube (/ 1 alpha))) into (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 4.0 (cube (/ 1 alpha))) into (* 4.0 (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) into (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) into (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))) into (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))) into (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) into (- (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (cube (/ 1 beta))) (+ (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))))) (- (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (+ (* 4.0 (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))) into (- (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) into (- (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (cube (/ 1 beta))) (+ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* 4.0 (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))))) (+ (* 4.0 (cube (/ 1 alpha))) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))))))) (pow (* 1 (* (/ 1 alpha) 1)) 3)) (+ (* (- (+ (* 2.0 (cube (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (+ (* 2.0 (cube (/ 1 beta))) (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))))) (sqr (* 1 (* (/ 1 alpha) 1)))) (* (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* 1 (* (/ 1 alpha) 1))))) into (- (+ (/ (cube (/ 1 beta)) alpha) (+ (* 2.0 (/ (cube (/ 1 alpha)) (sqr alpha))) (+ (* 4.0 (/ (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (pow alpha 3))) (+ (* 4.0 (/ (cube (/ 1 beta)) (pow alpha 3))) (+ (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (sqr alpha)) (/ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (pow alpha 3))))))) (+ (* 4.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (pow alpha 3))) (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (pow alpha 3)) (+ (* 4.0 (/ (cube (/ 1 alpha)) (pow alpha 3))) (+ (/ (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (+ (* 2.0 (/ (cube (/ 1 beta)) (sqr alpha))) (/ (cube (/ 1 alpha)) alpha)))))))
* [misc]approximate:  Taking taylor expansion of (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- beta))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (- beta))) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (cube (/ 1 (- alpha))) into (cube (/ -1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -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 (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (- beta))) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (- alpha))) into (cube (/ -1 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]backup-simplify:  Simplify (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) -1) into (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- beta))) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- alpha))) into (cube (/ -1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -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 (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) 2.0) (fma (/ 1 (- i)) 2 (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- beta))) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- alpha))) into (cube (/ -1 alpha))
* [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]backup-simplify:  Simplify (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -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 (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) into (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (cube (/ -1 beta)) (cube (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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 (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) -1) into (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (- (cube (/ -1 beta)) (cube (/ -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 (- (cube (/ -1 beta)) (cube (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha)))) into (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha)))) into (* -1 (- (cube (/ -1 beta)) (cube (/ -1 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 (- 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))) (+ (* (/ (- (cube (/ -1 beta)) (cube (/ -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]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) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 -1) (+ (* (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha)))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) -1)))) into (- (+ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (cube (/ -1 alpha)))) (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (cube (/ -1 alpha)))) (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (cube (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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]taylor:  Taking taylor expansion of (* 2.0 (cube (/ -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 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.0 (cube (/ -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 (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 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 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 2.0 (cube (/ -1 alpha))) into (* 2.0 (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (cube (/ -1 alpha)))) into (+ (* 2.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* 2.0 (cube (/ -1 beta))) into (* 2.0 (cube (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))) into (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) into (- (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 2.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (- (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))) into (- (+ (* 2.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) into (- (+ (* 2.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (- (cube (/ -1 beta)) (cube (/ -1 alpha))))) 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 (- 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))) (+ (* (/ (- (cube (/ -1 beta)) (cube (/ -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]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]backup-simplify:  Simplify (+ 0 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 (- (/ 0 -1) (+ (* (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha)))) (/ 0 -1)) (* (- (+ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* 2.0 (cube (/ -1 alpha)))) (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) (/ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) -1)))) into (- (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (cube (/ -1 alpha)) (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 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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]taylor:  Taking taylor expansion of (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (cube (/ -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 (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -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 (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -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]taylor:  Taking taylor expansion of (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (cube (/ -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 (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (* 4.0 (* (cube (/ -1 beta)) (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 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in i
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 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 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) into (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) into (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* 4.0 (cube (/ -1 alpha))) into (* 4.0 (cube (/ -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 (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) into (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) into (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (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 (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) into (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (* 4.0 (cube (/ -1 beta))) into (* 4.0 (cube (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) into (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))
* [misc]backup-simplify:  Simplify (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))) into (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) into (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))) into (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))
* [misc]backup-simplify:  Simplify (- (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) into (- (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (- (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))) into (- (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) into (- (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 4.0 (cube (/ -1 alpha))) (+ (* 4.0 (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 4.0 (cube (/ -1 beta))) (* 4.0 (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))))) (pow (* 1 (* (/ 1 (- alpha)) 1)) 3)) (+ (* (- (+ (* 2.0 (cube (/ -1 alpha))) (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta)))) (+ (* 2.0 (cube (/ -1 beta))) (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))))) (sqr (* 1 (* (/ 1 (- alpha)) 1)))) (* (* -1 (- (cube (/ -1 beta)) (cube (/ -1 alpha)))) (* 1 (* (/ 1 (- alpha)) 1))))) into (- (+ (* 2.0 (/ (cube (/ -1 alpha)) (sqr alpha))) (+ (/ (cube (/ -1 beta)) alpha) (+ (/ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (pow alpha 3)) (+ (* 4.0 (/ (cube (/ -1 beta)) (pow alpha 3))) (+ (/ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (* 4.0 (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (pow alpha 3)))))))) (+ (/ (cube (/ -1 alpha)) alpha) (+ (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (+ (* 4.0 (/ (cube (/ -1 alpha)) (pow alpha 3))) (+ (/ (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (pow alpha 3)) (+ (* 2.0 (/ (cube (/ -1 beta)) (sqr alpha))) (* 4.0 (/ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (pow alpha 3)))))))))
* [misc]approximate:  Taking taylor expansion of (- (cube beta) (cube alpha)) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube beta) in alpha
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in alpha
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (cube beta) in beta
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in beta
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (cube beta) in beta
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in beta
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [misc]backup-simplify:  Simplify (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube alpha))
* [misc]taylor:  Taking taylor expansion of (- (cube beta) (cube alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube beta) in alpha
* [misc]backup-simplify:  Simplify (cube beta) into (cube beta)
* [misc]taylor:  Taking taylor expansion of (cube alpha) in alpha
* [misc]backup-simplify:  Simplify (cube alpha) into (cube alpha)
* [misc]backup-simplify:  Simplify (- (cube alpha)) into (- (cube alpha))
* [misc]backup-simplify:  Simplify (+ (cube beta) (- (cube alpha))) into (- (cube beta) (cube alpha))
* [misc]backup-simplify:  Simplify (- (cube beta) (cube alpha)) into (- (cube beta) (cube alpha))
* [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 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]taylor:  Taking 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 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 (- (cube beta) (cube alpha)) into (- (cube beta) (cube alpha))
* [misc]approximate:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 beta)) (cube (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 beta)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 beta)) into (cube (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 alpha)) into (cube (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (cube (/ 1 alpha))) into (- (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ 1 beta)) (- (cube (/ 1 alpha)))) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (cube (/ 1 beta)) (cube (/ 1 alpha))) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [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 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]taylor:  Taking 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 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 (- (cube (/ 1 beta)) (cube (/ 1 alpha))) into (- (cube (/ 1 beta)) (cube (/ 1 alpha)))
* [misc]approximate:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- beta))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (- beta))) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ 1 (- alpha))) into (cube (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- beta))) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- alpha))) into (cube (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (cube (/ 1 (- beta))) (cube (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- beta))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- beta))) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (cube (/ 1 (- alpha))) into (cube (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (cube (/ -1 beta)) (cube (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 beta)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ -1 beta)) into (cube (/ -1 beta))
* [misc]taylor:  Taking taylor expansion of (cube (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (cube (/ -1 alpha)) into (cube (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (cube (/ -1 alpha))) into (- (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (cube (/ -1 beta)) (- (cube (/ -1 alpha)))) into (- (cube (/ -1 beta)) (cube (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (cube (/ -1 beta)) (cube (/ -1 alpha))) into (- (cube (/ -1 beta)) (cube (/ -1 alpha)))
* [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 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]taylor:  Taking 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 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 (- (cube (/ -1 beta)) (cube (/ -1 alpha))) into (- (cube (/ -1 beta)) (cube (/ -1 alpha)))
* * * [misc]progress:  tayloring alt 10 of 10
* [misc]approximate:  Taking taylor expansion of (fma (* (- beta alpha) (cube (cbrt (/ 1 (+ (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) (cube (cbrt (/ 1 (+ (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) (cube (cbrt (/ 1 (+ (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) (cube (cbrt (/ 1 (+ (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) (cube (cbrt (/ 1 (+ (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) (cube (cbrt (/ 1 (+ (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) (cube (cbrt (/ 1 (+ (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) (cube (cbrt (/ 1 (+ (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) (cube (cbrt (/ 1 (+ (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)) (cube (cbrt (/ 1 (+ (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)) (cube (cbrt (/ 1 (+ (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)) (cube (cbrt (/ 1 (+ (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)) (cube (cbrt (/ 1 (+ (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)) (cube (cbrt (/ 1 (+ (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)) (cube (cbrt (/ 1 (+ (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)) (cube (cbrt (/ 1 (+ (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)) (cube (cbrt (/ 1 (+ (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)) (cube (cbrt (/ 1 (+ (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))) (cube (cbrt (/ 1 (+ (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))) (cube (cbrt (/ 1 (+ (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))) (cube (cbrt (/ 1 (+ (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))) (cube (cbrt (/ 1 (+ (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))) (cube (cbrt (/ 1 (+ (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))) (cube (cbrt (/ 1 (+ (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))) (cube (cbrt (/ 1 (+ (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))) (cube (cbrt (/ 1 (+ (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))) (cube (cbrt (/ 1 (+ (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]approximate:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 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 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]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 (/ 1 (+ 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]backup-simplify:  Simplify (/ 1 (+ 2.0 (fma i 2 beta))) into (/ 1 (+ 2.0 (fma i 2 beta)))
* [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 (- (+ (* (/ 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]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]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 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 (- (+ (* (/ 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]taylor:  Taking 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 (- (+ (* (/ 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)) (sqr (* alpha (* 1 1)))) (+ (* (- (/ 1 (sqr (+ 2.0 (fma i 2 beta))))) (* alpha (* 1 1))) (/ 1 (+ 2.0 (fma i 2 beta))))) into (- (+ (/ (sqr alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))) (/ alpha (sqr (+ 2.0 (fma i 2 beta)))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 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 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 (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (+ 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]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 (- (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (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 into 1
* [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 (- (+ (* (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (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]taylor:  Taking 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 (+ (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) 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]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 (- (+ (* (/ 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 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))) (/ 0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) (* 0 (/ 0 (+ (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]taylor:  Taking 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 (/ 1 i) 2 (/ 1 beta)))) (sqr (* (/ 1 alpha) (* 1 1)))) (* 1 (* (/ 1 alpha) (* 1 1)))) into (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 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 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]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 (/ 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 (- (+ 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]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 (- (+ (* (/ 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]taylor:  Taking 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]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 (- (+ (* (/ 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]taylor:  Taking 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 (/ -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))) -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]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 (- (+ (* (/ 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 (- (+ (* (/ 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]taylor:  Taking 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 (/ -1 i) 2 (/ -1 beta)))) (sqr (* (/ 1 (- alpha)) (* 1 1)))) (* -1 (* (/ 1 (- alpha)) (* 1 1)))) into (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))) into (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))) into (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))) into (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 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 (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha))))) into (cbrt (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha)))))) into (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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 (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))) into (cbrt (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (* (- beta alpha) (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- beta alpha) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))) into (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (+ 0 (- alpha)) into (- alpha)
* [misc]backup-simplify:  Simplify (* (- alpha) (/ 1 (+ 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 (+ (* (- alpha) 0) (* 1 (/ 1 (+ 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 (+ (* (- alpha) 0) (+ (* 1 0) (* 0 (/ 1 (+ 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)) (cube (cbrt (/ 1 (+ (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)) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 1 beta)) (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 beta) (/ 1 alpha)) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))))) into (/ 1 (+ 2.0 (+ (fma (/ 1 i) 2 (/ 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))))) 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 0) (* (- (/ 1 alpha)) (/ 1 (+ 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 (/ 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)) 0) (* 0 (/ 1 (+ 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]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)) (* 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 0) (* 0 (/ 1 (+ 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))) (cube (cbrt (/ 1 (+ (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))) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 (- beta)) (/ 1 (- alpha))) (cube (cbrt (/ 1 (+ (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 (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ 1 (+ (fma (/ 1 (- i)) 2 (/ 1 (- beta))) (+ 2.0 (/ 1 (- alpha))))))) into (/ 1 (- (+ 2.0 (fma (/ -1 i) 2 (/ -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)))) 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 (+ (* -1 0) (* (/ 1 alpha) (/ 1 (- (+ 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]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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) 0) (* 0 (/ 1 (- (+ 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 -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 (- 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 0) (* 0 (/ 1 (- (+ 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:  simplifying alt 1 of 120
* [enter]simplify:  Simplifying (/ (exp (log (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 (18 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (28 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]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 2 of 120
* [enter]simplify:  Simplifying (/ (exp (log (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))) 2.0)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (38 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 120
* [enter]simplify:  Simplifying (/ (exp (log (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 (26 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (60 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 120
* [enter]simplify:  Simplifying (/ (exp (log (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 (18 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (28 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]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 5 of 120
* [enter]simplify:  Simplifying (/ (exp (log (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 (22 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (38 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 6 of 120
* [enter]simplify:  Simplifying (/ (exp (log (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 (26 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (60 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 7 of 120
* [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 8 of 120
* [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 9 of 120
* [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 10 of 120
* [enter]simplify:  Simplifying (/ (exp (log (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: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (44 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 11 of 120
* [enter]simplify:  Simplifying (/ (exp (log (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: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 12 of 120
* [enter]simplify:  Simplifying (/ (exp (log (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: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (45 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]none:  prog is (λ (alpha beta i) (/ (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:  simplifying alt 13 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ (/ (sqr alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))) (/ alpha (sqr (+ 2.0 (fma i 2 beta)))))) (/ (+ alpha beta) (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 (56 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (- (/ 1 (+ (fma i 2 beta) 2.0)) (- (/ (/ alpha (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (cube (+ (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 alpha) (- (/ 1 (+ (fma i 2 beta) 2.0)) (- (/ (/ alpha (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (cube (+ (fma i 2 beta) 2.0)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 14 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))) (/ (+ alpha beta) (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 (44 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ 2.0 (* alpha alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ 2.0 (* alpha alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 15 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))) (/ (+ alpha beta) (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 (45 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ (/ 2.0 alpha) alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ (/ 2.0 alpha) alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 16 of 120
* [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 17 of 120
* [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 18 of 120
* [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 19 of 120
* [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: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (42 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 20 of 120
* [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: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 21 of 120
* [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: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (43 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]none:  prog is (λ (alpha beta i) (/ (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:  simplifying alt 22 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (cbrt (cube (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (54 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 23 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (cbrt (cube (/ 1 (+ 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 (23 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (+ (/ 1 alpha) 2.0) (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) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 24 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (cbrt (cube (/ 1 (- (+ 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 (24 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 25 of 120
* [enter]simplify:  Simplifying (/ (fma (* (exp (- (log (+ 2.0 (+ (fma i 2 beta) alpha))))) (- beta alpha)) (/ (+ beta alpha) (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 (36 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 26 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- (/ 1 beta) (/ 1 alpha)) (exp (- (log (+ 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 (23 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ 2.0 (/ 1 alpha)) (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)) (+ (+ 2.0 (/ 1 alpha)) (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 120
* [enter]simplify:  Simplifying (/ (fma (* (- (/ 1 alpha) (/ 1 beta)) (exp (- (log (- (+ 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 (27 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 alpha) (/ 1 beta)) (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))) (/ (+ (/ (- 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)) (- 2.0 (/ 1 alpha)))) (/ (+ (/ (- 1) beta) (/ (- 1) alpha)) (fma 2 (/ -1 i) (+ (/ (- 1) beta) (/ (- 1) alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 28 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ (/ (* (sqr alpha) (exp (- (log (+ 2.0 (fma i 2 beta)))))) (sqr (+ 2.0 (fma i 2 beta)))) (exp (- (log (+ 2.0 (fma i 2 beta)))))) (/ (* alpha (exp (- (log (+ 2.0 (fma i 2 beta)))))) (+ 2.0 (fma i 2 beta))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (fma (/ (/ 1 (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (+ (fma i 2 beta) 2.0)) (- (/ 1 (+ (fma i 2 beta) 2.0)) (/ (/ alpha (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (fma (/ (/ 1 (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (+ (fma i 2 beta) 2.0)) (- (/ 1 (+ (fma i 2 beta) 2.0)) (/ (/ alpha (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 29 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ alpha (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) alpha) (+ (* 4.0 (/ 1 alpha)) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha))))) (+ 2.0 (fma (/ 1 i) 2 (/ 1 beta))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (+ (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (fma (/ 1 i) 2 (/ 1 beta))) alpha) (- (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) 4.0 (/ 4.0 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- beta alpha) (+ (+ (* (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (fma (/ 1 i) 2 (/ 1 beta))) alpha) (- (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) 4.0 (/ 4.0 alpha)) (+ (fma (/ 1 i) 2 (/ 1 beta)) 2.0)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 30 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ (* 4.0 (/ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha))) (+ (exp (- (log alpha) (log -1))) (+ (/ (* (exp (- (log alpha) (log -1))) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (sqr alpha)) (* 4.0 (/ (exp (- (log alpha) (log -1))) (sqr alpha)))))) (+ (/ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) alpha) (* 2.0 (/ (exp (- (log alpha) (log -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 (72 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (- (+ (+ (fma (* (/ (/ alpha -1) (* alpha alpha)) (fma (/ -1 i) 2 (/ -1 beta))) 4.0 (/ alpha -1)) (* 4.0 (/ (/ alpha -1) (* alpha alpha)))) (/ (/ alpha -1) (sqr (/ alpha (fma (/ -1 i) 2 (/ -1 beta)))))) (* (/ (/ alpha -1) alpha) (+ (fma (/ -1 i) 2 (/ -1 beta)) 2.0)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- beta alpha) (- (+ (+ (fma (* (/ (/ alpha -1) (* alpha alpha)) (fma (/ -1 i) 2 (/ -1 beta))) 4.0 (/ alpha -1)) (* 4.0 (/ (/ alpha -1) (* alpha alpha)))) (/ (/ alpha -1) (sqr (/ alpha (fma (/ -1 i) 2 (/ -1 beta)))))) (* (/ (/ alpha -1) alpha) (+ (fma (/ -1 i) 2 (/ -1 beta)) 2.0)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 31 of 120
* [enter]simplify:  Simplifying (/ (fma (- (* beta (exp (- (log (+ 2.0 (fma i 2 beta)))))) (+ (* alpha (exp (- (log (+ 2.0 (fma i 2 beta)))))) (/ (* beta (* alpha (exp (- (log (+ 2.0 (fma i 2 beta))))))) (+ 2.0 (fma i 2 beta))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (/ (* 1 (- beta alpha)) (+ (fma i 2 beta) 2.0)) (* (/ beta (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- (/ (* 1 (- beta alpha)) (+ (fma i 2 beta) 2.0)) (* (/ beta (+ (fma i 2 beta) 2.0)) (/ alpha (+ (fma i 2 beta) 2.0)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 32 of 120
* [enter]simplify:  Simplifying (/ (fma (- (+ (* beta alpha) (+ (* 2.0 alpha) (* (fma (/ 1 i) 2 (/ 1 beta)) alpha))) (sqr alpha)) (/ (+ alpha beta) (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 (54 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (fma alpha (fma (/ 1 i) 2 (/ 1 beta)) (* (+ 2.0 beta) alpha)) (* alpha alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- (fma alpha (fma (/ 1 i) 2 (/ 1 beta)) (* (+ 2.0 beta) alpha)) (* alpha alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 33 of 120
* [enter]simplify:  Simplifying (/ (fma (- (+ (* (exp (- (log alpha) (log -1))) (fma (/ -1 i) 2 (/ -1 beta))) (+ (* 2.0 (exp (- (log alpha) (log -1)))) (* (exp (- (log alpha) (log -1))) beta))) (* (exp (- (log alpha) (log -1))) alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (/ (fma (fma (fma (/ -1 i) 2 (/ -1 beta)) (/ alpha -1) (* (/ alpha -1) (- (+ 2.0 beta) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (fma (fma (/ -1 i) 2 (/ -1 beta)) (/ alpha -1) (* (/ alpha -1) (- (+ 2.0 beta) alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 34 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (exp (- (log (+ (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 (21 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (/ (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]none:  prog is (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))
* * * [misc]progress:  simplifying alt 35 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (exp (- (log (+ (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 (25 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (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]none:  prog is (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))
* * * [misc]progress:  simplifying alt 36 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (exp (- (log (+ (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 (27 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (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) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (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 37 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (- (/ (sqr beta) (+ 2.0 (fma i 2 beta))) (+ (/ (* (sqr beta) alpha) (sqr (+ 2.0 (fma i 2 beta)))) (/ (sqr alpha) (+ 2.0 (fma i 2 beta))))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ (sqr beta) (+ 2.0 (fma i 2 beta))) (fma (/ alpha (+ 2.0 (fma i 2 beta))) (/ (sqr beta) (+ 2.0 (fma i 2 beta))) (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))))) (+ alpha beta)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (/ (sqr beta) (+ 2.0 (fma i 2 beta))) (fma (/ alpha (+ 2.0 (fma i 2 beta))) (/ (sqr beta) (+ 2.0 (fma i 2 beta))) (/ (* alpha alpha) (+ 2.0 (fma i 2 beta))))) (+ alpha beta)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 38 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (- (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ (sqr beta) alpha))) alpha) (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ (* (/ beta alpha) beta) (- 2.0 alpha))) (+ beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ (* (/ beta alpha) beta) (- 2.0 alpha))) (+ beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 39 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (- (+ 2.0 (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ (sqr beta) alpha))) alpha) (+ 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 (29 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ (* beta beta) alpha) alpha)) (+ beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (+ (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (- (/ (* beta beta) alpha) alpha)) (+ beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 40 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (- (sqr beta) (sqr alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ beta alpha))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) 1) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) 1) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 41 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (+ (/ 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) 2.0)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (97 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (/ (- (/ (/ 1 beta) beta) (/ (/ 1 alpha) alpha)) (+ (/ 1 alpha) (/ 1 beta))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 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 (/ (/ (- (/ (/ 1 beta) beta) (/ (/ 1 alpha) alpha)) (+ (/ 1 alpha) (/ 1 beta))) (+ (fma (/ 1 i) 2 (/ 1 beta)) (+ 2.0 (/ 1 alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 42 of 120
* [enter]simplify:  Simplifying (/ (fma (* -1 (/ (- (/ 1 (sqr beta)) (/ 1 (sqr alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 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 (30 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (/ -1 (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))) (/ (- (/ (/ 1 beta) beta) (/ (/ 1 alpha) alpha)) (+ (/ 1 alpha) (/ 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 (+ (fma (/ -1 i) 2 (/ -1 beta)) (- 2.0 (/ 1 alpha)))) (/ (- (/ (/ 1 beta) beta) (/ (/ 1 alpha) alpha)) (+ (/ 1 alpha) (/ 1 beta)))) (/ (- (+ (/ 1 alpha) (/ 1 beta))) (fma 2 (/ -1 i) (- (+ (/ 1 alpha) (/ 1 beta))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 43 of 120
* [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: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (42 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 44 of 120
* [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: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 45 of 120
* [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: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (43 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]none:  prog is (λ (alpha beta i) (/ (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:  simplifying alt 46 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (/ (- (sqr beta) (sqr alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (/ (- beta alpha) 1) (+ (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 (/ (/ (- beta alpha) 1) (+ (fma i 2 beta) (+ alpha 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 47 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (/ (- (sqr beta) (sqr alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (/ (- beta alpha) 1) (+ (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 (/ (/ (- beta alpha) 1) (+ (fma i 2 beta) (+ alpha 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 48 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (/ (- (sqr beta) (sqr alpha)) (+ (+ 2.0 alpha) (fma i 2 beta))) (+ beta alpha)) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (/ (- beta alpha) 1) (+ (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 (/ (/ (- beta alpha) 1) (+ (fma i 2 beta) (+ alpha 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 49 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (/ (- 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (28 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]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 50 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (/ (- (/ 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 (22 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (38 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 51 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (/ (- (/ 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 (26 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (60 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 52 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (/ (- beta alpha) (+ 2.0 (+ (fma i 2 beta) alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (28 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]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (+ (+ alpha 2.0) (fma i 2 beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 53 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (/ (- (/ 1 beta) (/ 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 (22 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) 2.0) (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)) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 54 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (/ (- (/ 1 alpha) (/ 1 beta)) (- (+ 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 (24 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (38 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 55 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (- (/ 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: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (44 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 56 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (- (+ (/ 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: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 57 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (- (+ (/ (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: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (45 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]none:  prog is (λ (alpha beta i) (/ (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:  simplifying alt 58 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (/ (- 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 (20 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (31 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 59 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (/ (- 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 (24 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (37 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (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) (+ (fma i 2 beta) (+ 2.0 alpha))) (+ (/ beta (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 60 of 120
* [enter]simplify:  Simplifying (/ (fma (log1p (expm1 (/ (- 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 (26 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (/ (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]none:  prog is (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))
* * * [misc]progress:  simplifying alt 61 of 120
* [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 62 of 120
* [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 63 of 120
* [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 64 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ (/ (sqr alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))) (/ alpha (sqr (+ 2.0 (fma i 2 beta)))))) (/ (+ alpha beta) (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 (56 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (- (/ 1 (+ (fma i 2 beta) 2.0)) (- (/ (/ alpha (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (cube (+ (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 alpha) (- (/ 1 (+ (fma i 2 beta) 2.0)) (- (/ (/ alpha (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (cube (+ (fma i 2 beta) 2.0)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 65 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))) (/ (+ alpha beta) (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 (44 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ 2.0 (* alpha alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ 2.0 (* alpha alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 66 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))) (/ (+ alpha beta) (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 (45 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ (/ 2.0 alpha) alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ (/ 2.0 alpha) alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 67 of 120
* [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: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (42 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 68 of 120
* [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: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 69 of 120
* [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: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (43 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]none:  prog is (λ (alpha beta i) (/ (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:  simplifying alt 70 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (sqr (- (+ (* 3/8 (* (sqr alpha) (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 5))))) (sqrt (/ 1 (+ 2.0 (fma i 2 beta))))) (* 1/2 (* alpha (sqrt (/ 1 (pow (+ 2.0 (fma i 2 beta)) 3)))))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (sqr (- (fma (* (* 3/8 alpha) alpha) (sqrt (/ 1 (pow (+ (fma i 2 beta) 2.0) 5))) (sqrt (/ 1 (+ (fma i 2 beta) 2.0)))) (* (sqrt (/ 1 (cube (+ (fma i 2 beta) 2.0)))) (* 1/2 alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- beta alpha) (sqr (- (fma (* (* 3/8 alpha) alpha) (sqrt (/ 1 (pow (+ (fma i 2 beta) 2.0) 5))) (sqrt (/ 1 (+ (fma i 2 beta) 2.0)))) (* (sqrt (/ 1 (cube (+ (fma i 2 beta) 2.0)))) (* 1/2 alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 71 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (sqr (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ 1 alpha)) (- (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha)))))))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 72 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (sqr (- (+ (* +nan.0 (/ 1 (sqr alpha))) (- (+ (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))) (- (* +nan.0 (/ 1 alpha))))))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 73 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- (+ (/ beta (- (sqr (fma i 2 beta)) 4.0)) (* 4.0 (/ (* beta alpha) (sqr (- (sqr (fma i 2 beta)) 4.0))))) (/ alpha (- (sqr (fma i 2 beta)) 4.0))) (- (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (/ (* 4.0 (* beta alpha)) (sqr (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) (- (/ beta (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ alpha (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- (fma i 2 beta) (+ alpha 2.0)) (+ (/ (* 4.0 (* beta alpha)) (sqr (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) (- (/ beta (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ alpha (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 74 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- (/ 1 alpha) (+ (* 4.0 (/ 1 (sqr alpha))) (/ beta (sqr alpha)))) (- (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- (/ 1 alpha) (+ (/ (/ 4.0 alpha) alpha) (/ (/ beta alpha) alpha))) (- (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 (* (- (/ 1 alpha) (+ (/ (/ 4.0 alpha) alpha) (/ (/ beta alpha) alpha))) (- (fma i 2 beta) (+ alpha 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 75 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- (/ 1 alpha) (+ (* 4.0 (/ 1 (sqr alpha))) (/ beta (sqr alpha)))) (- (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- (/ 1 alpha) (+ (/ (/ 4.0 alpha) alpha) (/ (/ beta alpha) alpha))) (- (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 (* (- (/ 1 alpha) (+ (/ (/ 4.0 alpha) alpha) (/ (/ beta alpha) alpha))) (- (fma i 2 beta) (+ alpha 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 76 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (* (- (fma i 2 beta) (+ 2.0 alpha)) (- beta alpha)) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (* (- (fma i 2 beta) (+ alpha 2.0)) (- beta alpha)) (- (* (fma i 2 beta) (fma i 2 beta)) (fma alpha (+ 4.0 alpha) 4.0))) (/ (+ 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)) (- beta alpha)) (- (* (fma i 2 beta) (fma i 2 beta)) (fma alpha (+ 4.0 alpha) 4.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 77 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (* (- (/ 1 beta) (/ 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)))))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ (/ 1 alpha) 2.0)) (- (/ 1 beta) (/ 1 alpha))) (- (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (fma (+ (/ 1 alpha) 1) 4.0 (/ (/ 1 alpha) 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 (/ (* (- (fma (/ 1 i) 2 (/ 1 beta)) (+ (/ 1 alpha) 2.0)) (- (/ 1 beta) (/ 1 alpha))) (- (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (fma (+ (/ 1 alpha) 1) 4.0 (/ (/ 1 alpha) alpha)))) (/ (+ (/ 1 alpha) (/ 1 beta)) (fma 2 (/ 1 i) (+ (/ 1 alpha) (/ 1 beta)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 78 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (* (- (+ (fma (/ -1 i) 2 (/ -1 beta)) (/ 1 alpha)) 2.0) (- (/ 1 alpha) (/ 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)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (* (+ (- (/ 1 alpha) 2.0) (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha) (/ 1 beta))) (- (fma (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)) (/ 4.0 alpha)) (+ 4.0 (/ (/ 1 alpha) alpha)))) (/ (- (+ (/ 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) 2.0) (fma (/ -1 i) 2 (/ -1 beta))) (- (/ 1 alpha) (/ 1 beta))) (- (fma (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)) (/ 4.0 alpha)) (+ 4.0 (/ (/ 1 alpha) alpha)))) (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 79 of 120
* [enter]simplify:  Simplifying (/ (fma (- (+ (* 2.0 (/ alpha (- (sqr (fma i 2 beta)) 4.0))) (+ (* 4.0 (/ (* beta (* alpha (fma i 2 beta))) (sqr (- (sqr (fma i 2 beta)) 4.0)))) (/ (* beta (fma i 2 beta)) (- (sqr (fma i 2 beta)) 4.0)))) (+ (/ (* beta alpha) (- (sqr (fma i 2 beta)) 4.0)) (+ (/ (* alpha (fma i 2 beta)) (- (sqr (fma i 2 beta)) 4.0)) (+ (* 2.0 (/ beta (- (sqr (fma i 2 beta)) 4.0))) (* 8.0 (/ (* beta alpha) (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 (75 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (- (fma (/ beta (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (fma i 2 beta) (fma (/ 4.0 (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* (* alpha beta) (fma i 2 beta)) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* alpha 2.0) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)))) (/ (* alpha beta) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) (fma (/ 8.0 (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* alpha beta) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (fma (/ beta (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) 2.0 (/ (* (fma i 2 beta) alpha) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- (- (fma (/ beta (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (fma i 2 beta) (fma (/ 4.0 (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* (* alpha beta) (fma i 2 beta)) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* alpha 2.0) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)))) (/ (* alpha beta) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))) (fma (/ 8.0 (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (/ (* alpha beta) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) (fma (/ beta (- (* (fma i 2 beta) (fma i 2 beta)) 4.0)) 2.0 (/ (* (fma i 2 beta) alpha) (- (* (fma i 2 beta) (fma i 2 beta)) 4.0))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 80 of 120
* [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: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 81 of 120
* [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: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (43 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]none:  prog is (λ (alpha beta i) (/ (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:  simplifying alt 82 of 120
* [enter]simplify:  Simplifying (/ (fma (* (/ (- beta alpha) (- (sqr (fma i 2 beta)) (+ 4.0 (+ (sqr alpha) (* 4.0 alpha))))) (- (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (* (- beta alpha) (- (fma i 2 beta) (+ alpha 2.0))) (- (* (fma i 2 beta) (fma i 2 beta)) (fma alpha (+ 4.0 alpha) 4.0))) (/ (+ 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) (+ alpha 2.0))) (- (* (fma i 2 beta) (fma i 2 beta)) (fma alpha (+ 4.0 alpha) 4.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 83 of 120
* [enter]simplify:  Simplifying (/ (fma (* (/ (- beta alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 beta))) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (- (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (* (- beta alpha) (- (fma i 2 beta) (+ alpha 2.0))) (- (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (fma alpha (+ 4.0 alpha) 4.0))) (/ (+ 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) (+ alpha 2.0))) (- (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (fma alpha (+ 4.0 alpha) 4.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 84 of 120
* [enter]simplify:  Simplifying (/ (fma (* (/ (- beta alpha) (- (sqr (fma (/ -1 i) 2 (/ -1 beta))) (+ 4.0 (+ (* 4.0 alpha) (sqr alpha))))) (- (fma i 2 beta) (+ 2.0 alpha))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (* (- beta alpha) (- (fma i 2 beta) (+ alpha 2.0))) (- (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (fma alpha (+ 4.0 alpha) 4.0))) (/ (+ 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) (+ alpha 2.0))) (- (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (fma alpha (+ 4.0 alpha) 4.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 85 of 120
* [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 86 of 120
* [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 87 of 120
* [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 88 of 120
* [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: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (42 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 89 of 120
* [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: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 90 of 120
* [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: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (43 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]none:  prog is (λ (alpha beta i) (/ (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:  simplifying alt 91 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (/ 1 (+ (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 (20 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (38 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 92 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (/ 1 (+ (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 (23 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (41 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 93 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (/ 1 (+ (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 (25 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (50 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 94 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ (/ (sqr alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))) (/ alpha (sqr (+ 2.0 (fma i 2 beta)))))) (/ (+ alpha beta) (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 (56 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (- (/ 1 (+ (fma i 2 beta) 2.0)) (- (/ (/ alpha (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (cube (+ (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 alpha) (- (/ 1 (+ (fma i 2 beta) 2.0)) (- (/ (/ alpha (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (cube (+ (fma i 2 beta) 2.0)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 95 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (pow alpha 3)) (+ (* 4.0 (/ 1 (pow alpha 3))) (+ (/ 1 alpha) (* 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (pow alpha 3)))))) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (+ (+ (/ 4.0 (cube alpha)) (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (cube alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (- (fma 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (cube alpha)) (/ 1 alpha)) (+ (/ (/ 2.0 alpha) alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- beta alpha) (+ (+ (/ 4.0 (cube alpha)) (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (cube alpha)) (fma (/ 1 i) 2 (/ 1 beta)))) (- (fma 4.0 (/ (fma (/ 1 i) 2 (/ 1 beta)) (cube alpha)) (/ 1 alpha)) (+ (/ (/ 2.0 alpha) alpha) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 96 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 beta))) (pow alpha 3)) (+ (* 4.0 (/ 1 (pow alpha 3))) (+ (/ 1 alpha) (* 4.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (pow alpha 3)))))) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha))) (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) (cube alpha)) 4.0 (+ (/ 1 alpha) (/ 4.0 (cube alpha))))) (fma (/ 1 (* alpha alpha)) 2.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha)))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- (+ (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha))) (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) (cube alpha)) 4.0 (+ (/ 1 alpha) (/ 4.0 (cube alpha))))) (fma (/ 1 (* alpha alpha)) 2.0 (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha)))) (- beta alpha)) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 97 of 120
* [enter]simplify:  Simplifying (/ (fma (- (+ (/ (* beta (cube beta)) (pow (+ 2.0 (fma i 2 beta)) 4)) (+ (/ (* (cube alpha) alpha) (pow (+ 2.0 (fma i 2 beta)) 4)) (/ (cube beta) (pow (+ 2.0 (fma i 2 beta)) 3)))) (+ (/ (* (cube alpha) beta) (pow (+ 2.0 (fma i 2 beta)) 4)) (+ (/ (cube alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ (* alpha (cube beta)) (pow (+ 2.0 (fma i 2 beta)) 4))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (fma (/ beta (pow (+ (fma i 2 beta) 2.0) 4)) (cube beta) (+ (/ (cube beta) (cube (+ (fma i 2 beta) 2.0))) (/ (* (sqr alpha) (sqr alpha)) (pow (+ (fma i 2 beta) 2.0) 4)))) (fma (/ alpha (pow (+ (fma i 2 beta) 2.0) 4)) (cube beta) (fma (/ (cube alpha) (pow (+ (fma i 2 beta) 2.0) 4)) beta (/ (cube alpha) (cube (+ (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 (- (fma (/ beta (pow (+ (fma i 2 beta) 2.0) 4)) (cube beta) (+ (/ (cube beta) (cube (+ (fma i 2 beta) 2.0))) (/ (* (sqr alpha) (sqr alpha)) (pow (+ (fma i 2 beta) 2.0) 4)))) (fma (/ alpha (pow (+ (fma i 2 beta) 2.0) 4)) (cube beta) (fma (/ (cube alpha) (pow (+ (fma i 2 beta) 2.0) 4)) beta (/ (cube alpha) (cube (+ (fma i 2 beta) 2.0)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 98 of 120
* [enter]simplify:  Simplifying (/ (fma (- (+ (* 6.0 (/ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* (sqr beta) (pow alpha 4)))) (+ (* 4.0 (/ (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (* (sqr beta) (pow alpha 3)))) (+ (* 8.0 (/ (cube (/ 1 beta)) (* (pow beta 3) (pow alpha 3)))) (+ (* 8.0 (/ (cube (/ 1 alpha)) (* (sqr beta) (pow alpha 4)))) (+ (* 4.0 (/ (cube (/ 1 beta)) (* (sqr beta) (pow alpha 3)))) (+ (* 12.0 (/ (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (* (pow beta 3) (pow alpha 3)))) (+ (/ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* (pow beta 3) (pow alpha 3))) (+ (/ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* (sqr beta) (pow alpha 3))) (+ (* 12.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (* (sqr beta) (pow alpha 4)))) (+ (/ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (* (sqr beta) (pow alpha 4))) (* 6.0 (/ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* (pow beta 3) (pow alpha 3)))))))))))))) (+ (* 8.0 (/ (cube (/ 1 alpha)) (* (pow beta 3) (pow alpha 3)))) (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* (sqr beta) (pow alpha 3))) (+ (/ (* (pow (fma (/ 1 i) 2 (/ 1 beta)) 3) (cube (/ 1 alpha))) (* (pow beta 3) (pow alpha 3))) (+ (* 4.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (* (sqr beta) (pow alpha 3)))) (+ (* 6.0 (/ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (* (sqr beta) (pow alpha 4)))) (+ (* 8.0 (/ (cube (/ 1 beta)) (* (sqr beta) (pow alpha 4)))) (+ (* 12.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (* (pow beta 3) (pow alpha 3)))) (+ (* 12.0 (/ (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (* (sqr beta) (pow alpha 4)))) (+ (* 6.0 (/ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (* (pow beta 3) (pow alpha 3)))) (+ (* 4.0 (/ (cube (/ 1 alpha)) (* (sqr beta) (pow alpha 3)))) (/ (* (cube (/ 1 beta)) (pow (fma (/ 1 i) 2 (/ 1 beta)) 3)) (* (sqr beta) (pow alpha 4)))))))))))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (+ (+ (* (* (/ (fma (/ 1 i) 2 (/ 1 beta)) beta) (/ (fma (/ 1 i) 2 (/ 1 beta)) beta)) (* (/ (cube (/ 1 alpha)) (pow alpha 4)) 6.0)) (* (/ (cube (/ 1 beta)) (* beta beta)) (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (cube alpha)) 4.0))) (+ (+ (+ (+ (fma 12.0 (* (/ (cube (/ 1 alpha)) (pow alpha 4)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* beta beta))) (/ (cube (fma (/ 1 i) 2 (/ 1 beta))) (/ (* (pow alpha 4) (* beta beta)) (cube (/ 1 alpha))))) (/ (* (* 6.0 (cube (/ 1 beta))) (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (* (cube beta) (cube alpha)))) (fma (/ (cube (/ 1 beta)) (cube beta)) (/ (cube (fma (/ 1 i) 2 (/ 1 beta))) (cube alpha)) (/ (* (/ (cube (/ 1 beta)) (* beta beta)) (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (cube alpha)))) (fma 4.0 (/ (cube (/ 1 beta)) (* (* beta beta) (cube alpha))) (* 12.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 beta))) (* (cube beta) (cube alpha)))))) (* 8.0 (+ (/ (cube (/ 1 beta)) (* (cube beta) (cube alpha))) (/ (cube (/ 1 alpha)) (* (pow alpha 4) (* beta beta))))))) (+ (+ (+ (+ (/ (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (* (* beta beta) (cube alpha))) (fma (* (/ (cube (/ 1 beta)) (pow alpha 4)) (* (/ (fma (/ 1 i) 2 (/ 1 beta)) beta) (/ (fma (/ 1 i) 2 (/ 1 beta)) beta))) 6.0 (* (/ 8.0 (pow alpha 4)) (/ (cube (/ 1 beta)) (* beta beta))))) (+ (+ (* (/ 12.0 (cube beta)) (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (cube alpha))) (/ (* (* 12.0 (cube (/ 1 beta))) (fma (/ 1 i) 2 (/ 1 beta))) (* (pow alpha 4) (* beta beta)))) (fma 6.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (/ (* (cube beta) (cube alpha)) (cube (/ 1 alpha)))) (fma (/ (cube (/ 1 beta)) (* beta beta)) (/ (cube (fma (/ 1 i) 2 (/ 1 beta))) (pow alpha 4)) (/ (* (cube (/ 1 alpha)) 4.0) (* (* beta beta) (cube alpha))))))) (/ (cube (fma (/ 1 i) 2 (/ 1 beta))) (/ (* (cube beta) (cube alpha)) (cube (/ 1 alpha))))) (fma (/ (cube (/ 1 alpha)) (* (cube beta) (cube alpha))) 8.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (/ (* (* beta beta) (cube alpha)) (cube (/ 1 alpha))))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- (+ (+ (* (* (/ (fma (/ 1 i) 2 (/ 1 beta)) beta) (/ (fma (/ 1 i) 2 (/ 1 beta)) beta)) (* (/ (cube (/ 1 alpha)) (pow alpha 4)) 6.0)) (* (/ (cube (/ 1 beta)) (* beta beta)) (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (cube alpha)) 4.0))) (+ (+ (+ (+ (fma 12.0 (* (/ (cube (/ 1 alpha)) (pow alpha 4)) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* beta beta))) (/ (cube (fma (/ 1 i) 2 (/ 1 beta))) (/ (* (pow alpha 4) (* beta beta)) (cube (/ 1 alpha))))) (/ (* (* 6.0 (cube (/ 1 beta))) (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (* (cube beta) (cube alpha)))) (fma (/ (cube (/ 1 beta)) (cube beta)) (/ (cube (fma (/ 1 i) 2 (/ 1 beta))) (cube alpha)) (/ (* (/ (cube (/ 1 beta)) (* beta beta)) (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta)))) (cube alpha)))) (fma 4.0 (/ (cube (/ 1 beta)) (* (* beta beta) (cube alpha))) (* 12.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 beta))) (* (cube beta) (cube alpha)))))) (* 8.0 (+ (/ (cube (/ 1 beta)) (* (cube beta) (cube alpha))) (/ (cube (/ 1 alpha)) (* (pow alpha 4) (* beta beta))))))) (+ (+ (+ (+ (/ (* 4.0 (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha)))) (* (* beta beta) (cube alpha))) (fma (* (/ (cube (/ 1 beta)) (pow alpha 4)) (* (/ (fma (/ 1 i) 2 (/ 1 beta)) beta) (/ (fma (/ 1 i) 2 (/ 1 beta)) beta))) 6.0 (* (/ 8.0 (pow alpha 4)) (/ (cube (/ 1 beta)) (* beta beta))))) (+ (+ (* (/ 12.0 (cube beta)) (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (cube alpha))) (/ (* (* 12.0 (cube (/ 1 beta))) (fma (/ 1 i) 2 (/ 1 beta))) (* (pow alpha 4) (* beta beta)))) (fma 6.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (/ (* (cube beta) (cube alpha)) (cube (/ 1 alpha)))) (fma (/ (cube (/ 1 beta)) (* beta beta)) (/ (cube (fma (/ 1 i) 2 (/ 1 beta))) (pow alpha 4)) (/ (* (cube (/ 1 alpha)) 4.0) (* (* beta beta) (cube alpha))))))) (/ (cube (fma (/ 1 i) 2 (/ 1 beta))) (/ (* (cube beta) (cube alpha)) (cube (/ 1 alpha))))) (fma (/ (cube (/ 1 alpha)) (* (cube beta) (cube alpha))) 8.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (/ (* (* beta beta) (cube alpha)) (cube (/ 1 alpha))))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 99 of 120
* [enter]simplify:  Simplifying (/ (fma (- (+ (* 8.0 (/ (cube (/ -1 alpha)) (* (sqr beta) (pow alpha 4)))) (+ (/ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (* (pow beta 3) (pow alpha 3))) (+ (/ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (* (sqr beta) (pow alpha 4))) (+ (* 4.0 (/ (cube (/ -1 beta)) (* (sqr beta) (pow alpha 3)))) (+ (* 12.0 (/ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr beta) (pow alpha 4)))) (+ (* 6.0 (/ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (pow beta 3) (pow alpha 3)))) (+ (* 6.0 (/ (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (sqr beta) (pow alpha 4)))) (+ (* 12.0 (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (* (pow beta 3) (pow alpha 3)))) (+ (* 8.0 (/ (cube (/ -1 beta)) (* (pow beta 3) (pow alpha 3)))) (+ (* 4.0 (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr beta) (pow alpha 3)))) (/ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (sqr beta) (pow alpha 3))))))))))))) (+ (/ (* (cube (/ -1 alpha)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (* (pow beta 3) (pow alpha 3))) (+ (/ (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (sqr beta) (pow alpha 3))) (+ (* 4.0 (/ (cube (/ -1 alpha)) (* (sqr beta) (pow alpha 3)))) (+ (* 8.0 (/ (cube (/ -1 alpha)) (* (pow beta 3) (pow alpha 3)))) (+ (* 4.0 (/ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr beta) (pow alpha 3)))) (+ (* 8.0 (/ (cube (/ -1 beta)) (* (sqr beta) (pow alpha 4)))) (+ (/ (* (cube (/ -1 beta)) (pow (fma (/ -1 i) 2 (/ -1 beta)) 3)) (* (sqr beta) (pow alpha 4))) (+ (* 6.0 (/ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (sqr beta) (pow alpha 4)))) (+ (* 6.0 (/ (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (* (pow beta 3) (pow alpha 3)))) (+ (* 12.0 (/ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (* (pow beta 3) (pow alpha 3)))) (* 12.0 (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (* (sqr beta) (pow alpha 4))))))))))))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (299 enodes)
* [exit]simplify:  Simplified to (/ (fma (- (+ (+ (/ (* 8.0 (cube (/ -1 alpha))) (* (pow alpha 4) (* beta beta))) (fma (/ (cube -1) (* (cube beta) (cube beta))) (/ (cube (fma (/ -1 i) 2 (/ -1 beta))) (cube alpha)) (* (/ (cube (/ -1 alpha)) (* (pow alpha 4) (* beta beta))) (cube (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (fma (/ (cube (/ -1 beta)) (* (cube alpha) (* beta beta))) 4.0 (* (/ 12.0 (pow alpha 4)) (* (/ (fma (/ -1 i) 2 (/ -1 beta)) beta) (/ (cube (/ -1 alpha)) beta)))) (+ (fma 6.0 (/ (* (cube (/ -1 beta)) (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube beta) (cube alpha))) (* (/ 6.0 (pow alpha 4)) (/ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (/ (* beta beta) (cube (/ -1 alpha)))))) (+ (+ (* (/ 12.0 (cube beta)) (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (cube alpha))) (* (/ 8.0 (cube alpha)) (/ (cube -1) (* (cube beta) (cube beta))))) (fma (* (/ (cube (/ -1 beta)) (cube alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* beta beta))) 4.0 (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (/ (cube alpha) (fma (/ -1 i) 2 (/ -1 beta)))) (/ (cube (/ -1 beta)) (* beta beta)))))))) (+ (+ (fma (/ (cube (/ -1 alpha)) (/ (* (cube alpha) (* beta beta)) (fma (/ -1 i) 2 (/ -1 beta)))) 4.0 (+ (+ (* (fma (/ (cube (/ -1 alpha)) (cube beta)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (cube alpha)) (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (pow alpha 4)) (/ (cube (/ -1 beta)) (* beta beta)))) 12.0) (fma 6.0 (/ (* (cube (/ -1 beta)) (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (pow alpha 4) (* beta beta))) (* (/ 6.0 (cube alpha)) (/ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (/ (cube beta) (cube (/ -1 alpha))))))) (fma (/ (cube (/ -1 beta)) (* (pow alpha 4) (* beta beta))) 8.0 (* (/ (cube (/ -1 beta)) (* (pow alpha 4) (* beta beta))) (cube (fma (/ -1 i) 2 (/ -1 beta))))))) (fma (/ (cube (/ -1 alpha)) (* (cube alpha) (* beta beta))) 4.0 (* (/ 8.0 (cube beta)) (/ (cube (/ -1 alpha)) (cube alpha))))) (fma (/ (cube (/ -1 alpha)) (cube beta)) (/ (cube (fma (/ -1 i) 2 (/ -1 beta))) (cube alpha)) (* (/ (cube (/ -1 alpha)) (* beta beta)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (/ (cube alpha) (fma (/ -1 i) 2 (/ -1 beta)))))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (- (+ (+ (/ (* 8.0 (cube (/ -1 alpha))) (* (pow alpha 4) (* beta beta))) (fma (/ (cube -1) (* (cube beta) (cube beta))) (/ (cube (fma (/ -1 i) 2 (/ -1 beta))) (cube alpha)) (* (/ (cube (/ -1 alpha)) (* (pow alpha 4) (* beta beta))) (cube (fma (/ -1 i) 2 (/ -1 beta)))))) (+ (fma (/ (cube (/ -1 beta)) (* (cube alpha) (* beta beta))) 4.0 (* (/ 12.0 (pow alpha 4)) (* (/ (fma (/ -1 i) 2 (/ -1 beta)) beta) (/ (cube (/ -1 alpha)) beta)))) (+ (fma 6.0 (/ (* (cube (/ -1 beta)) (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (cube beta) (cube alpha))) (* (/ 6.0 (pow alpha 4)) (/ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (/ (* beta beta) (cube (/ -1 alpha)))))) (+ (+ (* (/ 12.0 (cube beta)) (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (cube alpha))) (* (/ 8.0 (cube alpha)) (/ (cube -1) (* (cube beta) (cube beta))))) (fma (* (/ (cube (/ -1 beta)) (cube alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* beta beta))) 4.0 (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (/ (cube alpha) (fma (/ -1 i) 2 (/ -1 beta)))) (/ (cube (/ -1 beta)) (* beta beta)))))))) (+ (+ (fma (/ (cube (/ -1 alpha)) (/ (* (cube alpha) (* beta beta)) (fma (/ -1 i) 2 (/ -1 beta)))) 4.0 (+ (+ (* (fma (/ (cube (/ -1 alpha)) (cube beta)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (cube alpha)) (* (/ (fma (/ -1 i) 2 (/ -1 beta)) (pow alpha 4)) (/ (cube (/ -1 beta)) (* beta beta)))) 12.0) (fma 6.0 (/ (* (cube (/ -1 beta)) (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta)))) (* (pow alpha 4) (* beta beta))) (* (/ 6.0 (cube alpha)) (/ (* (fma (/ -1 i) 2 (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (/ (cube beta) (cube (/ -1 alpha))))))) (fma (/ (cube (/ -1 beta)) (* (pow alpha 4) (* beta beta))) 8.0 (* (/ (cube (/ -1 beta)) (* (pow alpha 4) (* beta beta))) (cube (fma (/ -1 i) 2 (/ -1 beta))))))) (fma (/ (cube (/ -1 alpha)) (* (cube alpha) (* beta beta))) 4.0 (* (/ 8.0 (cube beta)) (/ (cube (/ -1 alpha)) (cube alpha))))) (fma (/ (cube (/ -1 alpha)) (cube beta)) (/ (cube (fma (/ -1 i) 2 (/ -1 beta))) (cube alpha)) (* (/ (cube (/ -1 alpha)) (* beta beta)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (/ (cube alpha) (fma (/ -1 i) 2 (/ -1 beta)))))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 100 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (- (cube beta) (cube alpha)) (* (+ 2.0 (+ alpha (fma i 2 beta))) (+ (* beta alpha) (+ (sqr alpha) (sqr beta))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (/ (- (cube beta) (cube alpha)) (+ (fma i 2 beta) (+ alpha 2.0))) (fma alpha (+ beta alpha) (sqr beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (/ (- (cube beta) (cube alpha)) (+ (fma i 2 beta) (+ alpha 2.0))) (fma alpha (+ beta alpha) (sqr beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 101 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (* (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta 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) 2.0)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (/ (- (/ 1 (cube beta)) (/ 1 (cube alpha))) (+ (+ (/ 1 (* beta alpha)) (/ 1 (* alpha alpha))) (sqr (/ 1 beta)))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ (/ 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 (cube beta)) (/ 1 (cube alpha))) (+ (+ (/ 1 (* beta alpha)) (/ 1 (* alpha alpha))) (sqr (/ 1 beta)))) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 102 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (- (+ 2.0 (fma (/ -1 i) 2 (/ -1 beta))) (/ 1 alpha)) (+ (/ 1 (sqr alpha)) (+ (/ 1 (sqr beta)) (/ 1 (* beta alpha)))))) (* -1 (/ (+ (/ 1 beta) (/ 1 alpha)) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha)))))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (+ (+ (/ 1 (* beta beta)) (/ (/ 1 alpha) alpha)) (/ (/ 1 beta) alpha))) (/ (- (+ (/ 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 (/ (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (+ (+ (/ 1 (* beta beta)) (/ (/ 1 alpha) alpha)) (/ (/ 1 beta) alpha))) (/ (- (+ (/ 1 beta) (/ 1 alpha))) (fma 2 (/ -1 i) (- (+ (/ 1 beta) (/ 1 alpha))))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 103 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (- (+ (/ (* (cube alpha) alpha) (sqr (+ 2.0 (fma i 2 beta)))) (+ (/ (cube beta) (+ 2.0 (fma i 2 beta))) (/ (* (sqr alpha) (cube beta)) (pow (+ 2.0 (fma i 2 beta)) 3)))) (+ (/ (* (cube alpha) (sqr alpha)) (pow (+ 2.0 (fma i 2 beta)) 3)) (+ (/ (* alpha (cube beta)) (sqr (+ 2.0 (fma i 2 beta)))) (/ (cube alpha) (+ 2.0 (fma i 2 beta)))))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (fma (/ (sqr alpha) (cube (+ 2.0 (fma i 2 beta)))) (cube beta) (fma (/ alpha (+ 2.0 (fma i 2 beta))) (/ (cube alpha) (+ 2.0 (fma i 2 beta))) (/ (cube beta) (+ 2.0 (fma i 2 beta))))) (+ (fma (/ alpha (+ 2.0 (fma i 2 beta))) (/ (cube beta) (+ 2.0 (fma i 2 beta))) (/ (cube alpha) (+ 2.0 (fma i 2 beta)))) (/ (* (cube alpha) (sqr alpha)) (cube (+ 2.0 (fma i 2 beta)))))) (fma alpha (+ beta alpha) (sqr beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (fma (/ (sqr alpha) (cube (+ 2.0 (fma i 2 beta)))) (cube beta) (fma (/ alpha (+ 2.0 (fma i 2 beta))) (/ (cube alpha) (+ 2.0 (fma i 2 beta))) (/ (cube beta) (+ 2.0 (fma i 2 beta))))) (+ (fma (/ alpha (+ 2.0 (fma i 2 beta))) (/ (cube beta) (+ 2.0 (fma i 2 beta))) (/ (cube alpha) (+ 2.0 (fma i 2 beta)))) (/ (* (cube alpha) (sqr alpha)) (cube (+ 2.0 (fma i 2 beta)))))) (fma alpha (+ beta alpha) (sqr beta))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 104 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (- (+ (/ (cube (/ 1 beta)) alpha) (+ (* 2.0 (/ (cube (/ 1 alpha)) (sqr alpha))) (+ (* 4.0 (/ (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (pow alpha 3))) (+ (* 4.0 (/ (cube (/ 1 beta)) (pow alpha 3))) (+ (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (sqr alpha)) (/ (* (cube (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 beta)))) (pow alpha 3))))))) (+ (* 4.0 (/ (* (fma (/ 1 i) 2 (/ 1 beta)) (cube (/ 1 alpha))) (pow alpha 3))) (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 beta))) (cube (/ 1 alpha))) (pow alpha 3)) (+ (* 4.0 (/ (cube (/ 1 alpha)) (pow alpha 3))) (+ (/ (* (cube (/ 1 beta)) (fma (/ 1 i) 2 (/ 1 beta))) (sqr alpha)) (+ (* 2.0 (/ (cube (/ 1 beta)) (sqr alpha))) (/ (cube (/ 1 alpha)) alpha))))))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (299 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (+ (fma (/ 2.0 alpha) (/ 1 (* (* alpha alpha) (* alpha alpha))) (/ 1 (* (* beta alpha) (* beta beta)))) (fma 4.0 (fma (/ (/ 1 (cube beta)) (cube alpha)) (fma (/ 1 i) 2 (/ 1 beta)) (/ (/ 1 (cube beta)) (cube alpha))) (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ 1 (* (* alpha alpha) (* alpha alpha))) (* (/ (/ 1 (cube beta)) (cube alpha)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))))) (+ (fma 4.0 (/ 1 (* (cube alpha) (cube alpha))) (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ 1 (* (* beta alpha) (* beta beta))) (fma 2.0 (/ (/ 1 (cube beta)) (* alpha alpha)) (/ 1 (* (* alpha alpha) (* alpha alpha)))))) (fma (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (cube alpha)) (/ 1 (cube alpha))) 4.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (/ (cube alpha) (/ 1 (cube alpha))))))) (fma alpha (+ alpha beta) (* beta beta))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (+ (fma (/ 2.0 alpha) (/ 1 (* (* alpha alpha) (* alpha alpha))) (/ 1 (* (* beta alpha) (* beta beta)))) (fma 4.0 (fma (/ (/ 1 (cube beta)) (cube alpha)) (fma (/ 1 i) 2 (/ 1 beta)) (/ (/ 1 (cube beta)) (cube alpha))) (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ 1 (* (* alpha alpha) (* alpha alpha))) (* (/ (/ 1 (cube beta)) (cube alpha)) (sqr (fma (/ 1 i) 2 (/ 1 beta))))))) (+ (fma 4.0 (/ 1 (* (cube alpha) (cube alpha))) (fma (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (/ 1 (* (* beta alpha) (* beta beta))) (fma 2.0 (/ (/ 1 (cube beta)) (* alpha alpha)) (/ 1 (* (* alpha alpha) (* alpha alpha)))))) (fma (* (/ (fma (/ 1 i) 2 (/ 1 beta)) (cube alpha)) (/ 1 (cube alpha))) 4.0 (/ (sqr (fma (/ 1 i) 2 (/ 1 beta))) (/ (cube alpha) (/ 1 (cube alpha))))))) (fma alpha (+ alpha beta) (* beta beta))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 105 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (- (+ (* 2.0 (/ (cube (/ -1 alpha)) (sqr alpha))) (+ (/ (cube (/ -1 beta)) alpha) (+ (/ (* (cube (/ -1 beta)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (pow alpha 3)) (+ (* 4.0 (/ (cube (/ -1 beta)) (pow alpha 3))) (+ (/ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (* 4.0 (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (pow alpha 3)))))))) (+ (/ (cube (/ -1 alpha)) alpha) (+ (/ (* (cube (/ -1 beta)) (fma (/ -1 i) 2 (/ -1 beta))) (sqr alpha)) (+ (* 4.0 (/ (cube (/ -1 alpha)) (pow alpha 3))) (+ (/ (* (cube (/ -1 alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))) (pow alpha 3)) (+ (* 2.0 (/ (cube (/ -1 beta)) (sqr alpha))) (* 4.0 (/ (* (cube (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 beta))) (pow alpha 3))))))))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (282 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (+ (+ (fma (* (/ (cube (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha))) 4.0 (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (cube (/ -1 alpha)) alpha))) (fma 4.0 (/ (cube (/ -1 beta)) (cube alpha)) (* (/ (cube (/ -1 beta)) (cube alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (fma (/ (cube (/ -1 alpha)) (* alpha alpha)) 2.0 (/ (cube (/ -1 beta)) alpha))) (+ (+ (fma (* (/ -1 (cube alpha)) (/ (- -1) (cube alpha))) 4.0 (* (* (/ -1 (cube alpha)) (/ (- -1) (cube alpha))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (fma (/ (cube (/ -1 beta)) (* alpha alpha)) 2.0 (* (* (/ -1 (cube alpha)) (/ (- -1) (cube alpha))) (* (fma (/ -1 i) 2 (/ -1 beta)) 4.0)))) (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (cube (/ -1 beta)) alpha) (/ (cube (/ -1 alpha)) alpha)))) (fma alpha (+ alpha beta) (* beta beta))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (+ (+ (fma (* (/ (cube (/ -1 beta)) alpha) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha))) 4.0 (* (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (cube (/ -1 alpha)) alpha))) (fma 4.0 (/ (cube (/ -1 beta)) (cube alpha)) (* (/ (cube (/ -1 beta)) (cube alpha)) (sqr (fma (/ -1 i) 2 (/ -1 beta)))))) (fma (/ (cube (/ -1 alpha)) (* alpha alpha)) 2.0 (/ (cube (/ -1 beta)) alpha))) (+ (+ (fma (* (/ -1 (cube alpha)) (/ (- -1) (cube alpha))) 4.0 (* (* (/ -1 (cube alpha)) (/ (- -1) (cube alpha))) (sqr (fma (/ -1 i) 2 (/ -1 beta))))) (fma (/ (cube (/ -1 beta)) (* alpha alpha)) 2.0 (* (* (/ -1 (cube alpha)) (/ (- -1) (cube alpha))) (* (fma (/ -1 i) 2 (/ -1 beta)) 4.0)))) (fma (/ (fma (/ -1 i) 2 (/ -1 beta)) alpha) (/ (cube (/ -1 beta)) alpha) (/ (cube (/ -1 alpha)) alpha)))) (fma alpha (+ alpha beta) (* beta beta))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 106 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (/ (- (cube beta) (cube alpha)) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (cube beta) (cube alpha)) (* (+ (fma i 2 beta) (+ alpha 2.0)) (fma alpha (+ beta alpha) (sqr beta)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (cube beta) (cube alpha)) (* (+ (fma i 2 beta) (+ alpha 2.0)) (fma alpha (+ beta alpha) (sqr beta)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 107 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (/ (- (cube (/ 1 beta)) (cube (/ 1 alpha))) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (/ 1 (cube beta)) (cube (/ 1 alpha))) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma alpha (+ alpha beta) (* beta beta)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (/ 1 (cube beta)) (cube (/ 1 alpha))) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma alpha (+ alpha beta) (* beta beta)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 108 of 120
* [enter]simplify:  Simplifying (/ (fma (/ (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (+ (+ alpha 2.0) (fma i 2 beta))) (+ (sqr beta) (+ (sqr alpha) (* beta alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma alpha (+ alpha beta) (* beta beta)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- (cube (/ -1 beta)) (cube (/ -1 alpha))) (* (+ (+ alpha 2.0) (fma i 2 beta)) (fma alpha (+ alpha beta) (* beta beta)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 109 of 120
* [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 110 of 120
* [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 111 of 120
* [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 112 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (+ (/ (sqr alpha) (pow (+ 2.0 (fma i 2 beta)) 3)) (/ 1 (+ 2.0 (fma i 2 beta)))) (/ alpha (sqr (+ 2.0 (fma i 2 beta)))))) (/ (+ alpha beta) (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 (56 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (- (/ 1 (+ (fma i 2 beta) 2.0)) (- (/ (/ alpha (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (cube (+ (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 alpha) (- (/ 1 (+ (fma i 2 beta) 2.0)) (- (/ (/ alpha (+ (fma i 2 beta) 2.0)) (+ (fma i 2 beta) 2.0)) (/ (* alpha alpha) (cube (+ (fma i 2 beta) 2.0)))))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 113 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (sqr alpha))))) (/ (+ alpha beta) (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 (44 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ 2.0 (* alpha alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ 2.0 (* alpha alpha))) (/ (fma (/ 1 i) 2 (/ 1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 114 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (- (/ 1 alpha) (+ (* 2.0 (/ 1 (sqr alpha))) (/ (fma (/ -1 i) 2 (/ -1 beta)) (sqr alpha))))) (/ (+ alpha beta) (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 (45 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ (/ 2.0 alpha) alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (- beta alpha) (- (- (/ 1 alpha) (/ (/ 2.0 alpha) alpha)) (/ (fma (/ -1 i) 2 (/ -1 beta)) (* alpha alpha)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 115 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (cube (cbrt (/ 1 (+ 2.0 (+ (fma i 2 beta) alpha)))))) (/ (+ alpha beta) (fma 2 i (+ alpha beta))) 1.0) 2.0)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (38 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 116 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (cube (cbrt (/ 1 (+ 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 (23 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (+ (+ (/ 1 alpha) 2.0) (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) (+ (+ (/ 1 alpha) 2.0) (fma (/ 1 i) 2 (/ 1 beta)))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 117 of 120
* [enter]simplify:  Simplifying (/ (fma (* (- beta alpha) (cube (cbrt (/ 1 (- (+ 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 (24 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (- beta alpha) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (- beta alpha) (- (fma (/ -1 i) 2 (/ -1 beta)) (- (/ 1 alpha) 2.0))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 118 of 120
* [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: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (42 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 119 of 120
* [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: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0)
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ beta alpha) (+ (/ (fma (/ 1 i) 2 (/ 1 beta)) alpha) (- (/ 2.0 alpha) 1))) (/ (+ beta alpha) (fma 2 i (+ beta alpha))) 1.0) 2.0))
* * * [misc]progress:  simplifying alt 120 of 120
* [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: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (43 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]none:  prog is (λ (alpha beta i) (/ (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:  [Phase 3 of 3] Extracting.
* [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))
* [enter]simplify:  Simplifying (cube (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (468 enodes)
* [exit]simplify:  Simplified to (/ 1 (cube (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ 1 (cube (+ (+ alpha 2.0) (fma i 2 beta))))
* [enter]simplify:  Simplifying (- (log (+ (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 (- (log (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (- (log (+ (+ alpha 2.0) (fma i 2 beta))))
* [enter]simplify:  Simplifying (- (sqr beta) (* alpha alpha))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (- (sqr beta) (* alpha alpha))
* [exit]simplify:  Simplified to (- (sqr beta) (* alpha alpha))
* [enter]simplify:  Simplifying (+ (+ 2.0 alpha) (fma i 2 beta))
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (+ (+ 2.0 alpha) (fma i 2 beta))
* [exit]simplify:  Simplified to (+ (+ 2.0 alpha) (fma i 2 beta))
* [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))))
* [enter]simplify:  Simplifying (sqrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* [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)))
* [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)))
* [enter]simplify:  Simplifying (- (cube beta) (cube alpha))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (13 enodes)
* [exit]simplify:  Simplified to (- (cube beta) (cube alpha))
* [exit]simplify:  Simplified to (- (cube beta) (cube alpha))
* [enter]simplify:  Simplifying (+ (+ alpha 2.0) (fma i 2 beta))
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (+ (+ alpha 2.0) (fma i 2 beta))
* [exit]simplify:  Simplified to (+ (+ alpha 2.0) (fma i 2 beta))
* [enter]simplify:  Simplifying (cbrt (/ 1 (+ (fma i 2 beta) (+ 2.0 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ (+ alpha 2.0) (fma i 2 beta))))